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Finding the Fourth Proportional to 981.92, 1,355.08 and 562.24

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Solution

The fourth proportional to 981.92, 1,355.08 and 562.24 is: 775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.92 : 1,355.08 = 562.24 : x
  2. Step 2: Convert to fraction form
    981.92/1,355.08 = 562.24/x
  3. Step 3: Cross multiply
    981.92x = 1,355.08 × 562.24
  4. Step 4: Simplify right side
    981.92x = 761,880.18
  5. Step 5: Solve for x
    x = 761,880.18/981.92
  6. Step 6: Final answer
    x = 775.91

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