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Finding the Fourth Proportional to 1,059.92, 1,462.43 and 634.69

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Solution

The fourth proportional to 1,059.92, 1,462.43 and 634.69 is: 875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.92 : 1,462.43 = 634.69 : x
  2. Step 2: Convert to fraction form
    1,059.92/1,462.43 = 634.69/x
  3. Step 3: Cross multiply
    1,059.92x = 1,462.43 × 634.69
  4. Step 4: Simplify right side
    1,059.92x = 928,184.47
  5. Step 5: Solve for x
    x = 928,184.47/1,059.92
  6. Step 6: Final answer
    x = 875.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.