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Finding the Fourth Proportional to 925.16, 1,387.65 and 377.24

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Solution

The fourth proportional to 925.16, 1,387.65 and 377.24 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.16 : 1,387.65 = 377.24 : x
  2. Step 2: Convert to fraction form
    925.16/1,387.65 = 377.24/x
  3. Step 3: Cross multiply
    925.16x = 1,387.65 × 377.24
  4. Step 4: Simplify right side
    925.16x = 523,477.09
  5. Step 5: Solve for x
    x = 523,477.09/925.16
  6. Step 6: Final answer
    x = 565.82

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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.