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Finding the Fourth Proportional to 749.75, 1,033.45 and 592.13

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Solution

The fourth proportional to 749.75, 1,033.45 and 592.13 is: 816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.75 : 1,033.45 = 592.13 : x
  2. Step 2: Convert to fraction form
    749.75/1,033.45 = 592.13/x
  3. Step 3: Cross multiply
    749.75x = 1,033.45 × 592.13
  4. Step 4: Simplify right side
    749.75x = 611,937.85
  5. Step 5: Solve for x
    x = 611,937.85/749.75
  6. Step 6: Final answer
    x = 816.19

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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.