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Finding the Fourth Proportional to 1,042.10, 1,562.70 and 311.74

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Solution

The fourth proportional to 1,042.10, 1,562.70 and 311.74 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.10 : 1,562.70 = 311.74 : x
  2. Step 2: Convert to fraction form
    1,042.10/1,562.70 = 311.74/x
  3. Step 3: Cross multiply
    1,042.10x = 1,562.70 × 311.74
  4. Step 4: Simplify right side
    1,042.10x = 487,156.10
  5. Step 5: Solve for x
    x = 487,156.10/1,042.10
  6. Step 6: Final answer
    x = 467.48

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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.