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Finding the Fourth Proportional to 1,125.71, 1,688.76 and 467.92

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Solution

The fourth proportional to 1,125.71, 1,688.76 and 467.92 is: 701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.71 : 1,688.76 = 467.92 : x
  2. Step 2: Convert to fraction form
    1,125.71/1,688.76 = 467.92/x
  3. Step 3: Cross multiply
    1,125.71x = 1,688.76 × 467.92
  4. Step 4: Simplify right side
    1,125.71x = 790,200.36
  5. Step 5: Solve for x
    x = 790,200.36/1,125.71
  6. Step 6: Final answer
    x = 701.96

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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.