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Finding the Fourth Proportional to 562.08, 781.05 and 556.14

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Solution

The fourth proportional to 562.08, 781.05 and 556.14 is: 772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.08 : 781.05 = 556.14 : x
  2. Step 2: Convert to fraction form
    562.08/781.05 = 556.14/x
  3. Step 3: Cross multiply
    562.08x = 781.05 × 556.14
  4. Step 4: Simplify right side
    562.08x = 434,373.15
  5. Step 5: Solve for x
    x = 434,373.15/562.08
  6. Step 6: Final answer
    x = 772.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.