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Finding the Fourth Proportional to 1,042.31, 1,562.16 and 456.95

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Solution

The fourth proportional to 1,042.31, 1,562.16 and 456.95 is: 684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.31 : 1,562.16 = 456.95 : x
  2. Step 2: Convert to fraction form
    1,042.31/1,562.16 = 456.95/x
  3. Step 3: Cross multiply
    1,042.31x = 1,562.16 × 456.95
  4. Step 4: Simplify right side
    1,042.31x = 713,832.92
  5. Step 5: Solve for x
    x = 713,832.92/1,042.31
  6. Step 6: Final answer
    x = 684.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.