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Finding the Fourth Proportional to 1,002.70, 1,503.24 and 455.14

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Solution

The fourth proportional to 1,002.70, 1,503.24 and 455.14 is: 682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.70 : 1,503.24 = 455.14 : x
  2. Step 2: Convert to fraction form
    1,002.70/1,503.24 = 455.14/x
  3. Step 3: Cross multiply
    1,002.70x = 1,503.24 × 455.14
  4. Step 4: Simplify right side
    1,002.70x = 684,184.65
  5. Step 5: Solve for x
    x = 684,184.65/1,002.70
  6. Step 6: Final answer
    x = 682.34

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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.