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Finding the Fourth Proportional to 932.92, 1,399.51 and 283.71

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Solution

The fourth proportional to 932.92, 1,399.51 and 283.71 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.92 : 1,399.51 = 283.71 : x
  2. Step 2: Convert to fraction form
    932.92/1,399.51 = 283.71/x
  3. Step 3: Cross multiply
    932.92x = 1,399.51 × 283.71
  4. Step 4: Simplify right side
    932.92x = 397,054.98
  5. Step 5: Solve for x
    x = 397,054.98/932.92
  6. Step 6: Final answer
    x = 425.60

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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.