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Finding the Fourth Proportional to 749.24, 1,124.04 and 420.52

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Solution

The fourth proportional to 749.24, 1,124.04 and 420.52 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.24 : 1,124.04 = 420.52 : x
  2. Step 2: Convert to fraction form
    749.24/1,124.04 = 420.52/x
  3. Step 3: Cross multiply
    749.24x = 1,124.04 × 420.52
  4. Step 4: Simplify right side
    749.24x = 472,681.30
  5. Step 5: Solve for x
    x = 472,681.30/749.24
  6. Step 6: Final answer
    x = 630.88

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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.