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Finding the Fourth Proportional to 1,402.57, 2,103.90 and 478.09

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Solution

The fourth proportional to 1,402.57, 2,103.90 and 478.09 is: 717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.57 : 2,103.90 = 478.09 : x
  2. Step 2: Convert to fraction form
    1,402.57/2,103.90 = 478.09/x
  3. Step 3: Cross multiply
    1,402.57x = 2,103.90 × 478.09
  4. Step 4: Simplify right side
    1,402.57x = 1,005,853.55
  5. Step 5: Solve for x
    x = 1,005,853.55/1,402.57
  6. Step 6: Final answer
    x = 717.15

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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.