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Finding the Fourth Proportional to 614.62, 923.40 and 592.74

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Solution

The fourth proportional to 614.62, 923.40 and 592.74 is: 890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.62 : 923.40 = 592.74 : x
  2. Step 2: Convert to fraction form
    614.62/923.40 = 592.74/x
  3. Step 3: Cross multiply
    614.62x = 923.40 × 592.74
  4. Step 4: Simplify right side
    614.62x = 547,336.12
  5. Step 5: Solve for x
    x = 547,336.12/614.62
  6. Step 6: Final answer
    x = 890.53

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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.