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Finding the Fourth Proportional to 1,124.99, 1,687.16 and 431.61

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Solution

The fourth proportional to 1,124.99, 1,687.16 and 431.61 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.99 : 1,687.16 = 431.61 : x
  2. Step 2: Convert to fraction form
    1,124.99/1,687.16 = 431.61/x
  3. Step 3: Cross multiply
    1,124.99x = 1,687.16 × 431.61
  4. Step 4: Simplify right side
    1,124.99x = 728,196.21
  5. Step 5: Solve for x
    x = 728,196.21/1,124.99
  6. Step 6: Final answer
    x = 647.29

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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.