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Finding the Fourth Proportional to 1,402.92, 2,103.77 and 478.23

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Solution

The fourth proportional to 1,402.92, 2,103.77 and 478.23 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.92 : 2,103.77 = 478.23 : x
  2. Step 2: Convert to fraction form
    1,402.92/2,103.77 = 478.23/x
  3. Step 3: Cross multiply
    1,402.92x = 2,103.77 × 478.23
  4. Step 4: Simplify right side
    1,402.92x = 1,006,085.93
  5. Step 5: Solve for x
    x = 1,006,085.93/1,402.92
  6. Step 6: Final answer
    x = 717.14

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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.