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Finding the Fourth Proportional to 1,022.92, 1,411.64 and 557.17

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Solution

The fourth proportional to 1,022.92, 1,411.64 and 557.17 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.92 : 1,411.64 = 557.17 : x
  2. Step 2: Convert to fraction form
    1,022.92/1,411.64 = 557.17/x
  3. Step 3: Cross multiply
    1,022.92x = 1,411.64 × 557.17
  4. Step 4: Simplify right side
    1,022.92x = 786,523.46
  5. Step 5: Solve for x
    x = 786,523.46/1,022.92
  6. Step 6: Final answer
    x = 768.90

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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.