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Finding the Fourth Proportional to 866.76, 1,196.15 and 473.77

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Solution

The fourth proportional to 866.76, 1,196.15 and 473.77 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.76 : 1,196.15 = 473.77 : x
  2. Step 2: Convert to fraction form
    866.76/1,196.15 = 473.77/x
  3. Step 3: Cross multiply
    866.76x = 1,196.15 × 473.77
  4. Step 4: Simplify right side
    866.76x = 566,702.98
  5. Step 5: Solve for x
    x = 566,702.98/866.76
  6. Step 6: Final answer
    x = 653.82

Related Problems

Find fourth proportional to 433.38, 598.08 and 236.89
Half scale
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Double scale
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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.