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Finding the Fourth Proportional to 938.52, 1,409.00 and 592.55

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Solution

The fourth proportional to 938.52, 1,409.00 and 592.55 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.52 : 1,409.00 = 592.55 : x
  2. Step 2: Convert to fraction form
    938.52/1,409.00 = 592.55/x
  3. Step 3: Cross multiply
    938.52x = 1,409.00 × 592.55
  4. Step 4: Simplify right side
    938.52x = 834,898.23
  5. Step 5: Solve for x
    x = 834,898.23/938.52
  6. Step 6: Final answer
    x = 889.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.