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Finding the Fourth Proportional to 1,002.64, 1,503.42 and 447.52

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Solution

The fourth proportional to 1,002.64, 1,503.42 and 447.52 is: 671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.64 : 1,503.42 = 447.52 : x
  2. Step 2: Convert to fraction form
    1,002.64/1,503.42 = 447.52/x
  3. Step 3: Cross multiply
    1,002.64x = 1,503.42 × 447.52
  4. Step 4: Simplify right side
    1,002.64x = 672,810.52
  5. Step 5: Solve for x
    x = 672,810.52/1,002.64
  6. Step 6: Final answer
    x = 671.04

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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.