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Finding the Fourth Proportional to 941.52, 1,299.33 and 592.14

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Solution

The fourth proportional to 941.52, 1,299.33 and 592.14 is: 817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.52 : 1,299.33 = 592.14 : x
  2. Step 2: Convert to fraction form
    941.52/1,299.33 = 592.14/x
  3. Step 3: Cross multiply
    941.52x = 1,299.33 × 592.14
  4. Step 4: Simplify right side
    941.52x = 769,385.27
  5. Step 5: Solve for x
    x = 769,385.27/941.52
  6. Step 6: Final answer
    x = 817.17

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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.