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Finding the Fourth Proportional to 864.76, 1,193.22 and 515.32

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Solution

The fourth proportional to 864.76, 1,193.22 and 515.32 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,193.22 = 515.32 : x
  2. Step 2: Convert to fraction form
    864.76/1,193.22 = 515.32/x
  3. Step 3: Cross multiply
    864.76x = 1,193.22 × 515.32
  4. Step 4: Simplify right side
    864.76x = 614,890.13
  5. Step 5: Solve for x
    x = 614,890.13/864.76
  6. Step 6: Final answer
    x = 711.05

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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.