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Finding the Fourth Proportional to 1,042.22, 1,562.10 and 463.88

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Solution

The fourth proportional to 1,042.22, 1,562.10 and 463.88 is: 695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.22 : 1,562.10 = 463.88 : x
  2. Step 2: Convert to fraction form
    1,042.22/1,562.10 = 463.88/x
  3. Step 3: Cross multiply
    1,042.22x = 1,562.10 × 463.88
  4. Step 4: Simplify right side
    1,042.22x = 724,619.14
  5. Step 5: Solve for x
    x = 724,619.14/1,042.22
  6. Step 6: Final answer
    x = 695.27

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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.