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Finding the Fourth Proportional to 1,002.57, 1,502.91 and 454.20

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Solution

The fourth proportional to 1,002.57, 1,502.91 and 454.20 is: 680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.57 : 1,502.91 = 454.20 : x
  2. Step 2: Convert to fraction form
    1,002.57/1,502.91 = 454.20/x
  3. Step 3: Cross multiply
    1,002.57x = 1,502.91 × 454.20
  4. Step 4: Simplify right side
    1,002.57x = 682,621.72
  5. Step 5: Solve for x
    x = 682,621.72/1,002.57
  6. Step 6: Final answer
    x = 680.87

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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.