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Finding the Fourth Proportional to 670.76, 927.36 and 505.82

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Solution

The fourth proportional to 670.76, 927.36 and 505.82 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.76 : 927.36 = 505.82 : x
  2. Step 2: Convert to fraction form
    670.76/927.36 = 505.82/x
  3. Step 3: Cross multiply
    670.76x = 927.36 × 505.82
  4. Step 4: Simplify right side
    670.76x = 469,077.24
  5. Step 5: Solve for x
    x = 469,077.24/670.76
  6. Step 6: Final answer
    x = 699.32

Related Problems

Find fourth proportional to 335.38, 463.68 and 252.91
Half scale
Find fourth proportional to 1,341.52, 1,854.72 and 1,011.64
Double scale
Find fourth proportional to 671.76, 928.74 and 506.82
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.