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Finding the Fourth Proportional to 750.50, 1,034.49 and 592.89

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Solution

The fourth proportional to 750.50, 1,034.49 and 592.89 is: 817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.50 : 1,034.49 = 592.89 : x
  2. Step 2: Convert to fraction form
    750.50/1,034.49 = 592.89/x
  3. Step 3: Cross multiply
    750.50x = 1,034.49 × 592.89
  4. Step 4: Simplify right side
    750.50x = 613,338.78
  5. Step 5: Solve for x
    x = 613,338.78/750.50
  6. Step 6: Final answer
    x = 817.24

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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.