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Finding the Fourth Proportional to 1,042.09, 1,562.67 and 311.53

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Solution

The fourth proportional to 1,042.09, 1,562.67 and 311.53 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.09 : 1,562.67 = 311.53 : x
  2. Step 2: Convert to fraction form
    1,042.09/1,562.67 = 311.53/x
  3. Step 3: Cross multiply
    1,042.09x = 1,562.67 × 311.53
  4. Step 4: Simplify right side
    1,042.09x = 486,814.68
  5. Step 5: Solve for x
    x = 486,814.68/1,042.09
  6. Step 6: Final answer
    x = 467.15

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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.