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Finding the Fourth Proportional to 633.48, 949.61 and 503.14

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Solution

The fourth proportional to 633.48, 949.61 and 503.14 is: 754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.48 : 949.61 = 503.14 : x
  2. Step 2: Convert to fraction form
    633.48/949.61 = 503.14/x
  3. Step 3: Cross multiply
    633.48x = 949.61 × 503.14
  4. Step 4: Simplify right side
    633.48x = 477,785.66
  5. Step 5: Solve for x
    x = 477,785.66/633.48
  6. Step 6: Final answer
    x = 754.22

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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.