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Finding the Fourth Proportional to 675.91, 1,012.24 and 432.10

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Solution

The fourth proportional to 675.91, 1,012.24 and 432.10 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.91 : 1,012.24 = 432.10 : x
  2. Step 2: Convert to fraction form
    675.91/1,012.24 = 432.10/x
  3. Step 3: Cross multiply
    675.91x = 1,012.24 × 432.10
  4. Step 4: Simplify right side
    675.91x = 437,388.90
  5. Step 5: Solve for x
    x = 437,388.90/675.91
  6. Step 6: Final answer
    x = 647.11

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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.