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Finding the Fourth Proportional to 1,402.61, 2,103.73 and 478.13

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Solution

The fourth proportional to 1,402.61, 2,103.73 and 478.13 is: 717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.61 : 2,103.73 = 478.13 : x
  2. Step 2: Convert to fraction form
    1,402.61/2,103.73 = 478.13/x
  3. Step 3: Cross multiply
    1,402.61x = 2,103.73 × 478.13
  4. Step 4: Simplify right side
    1,402.61x = 1,005,856.42
  5. Step 5: Solve for x
    x = 1,005,856.42/1,402.61
  6. Step 6: Final answer
    x = 717.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.