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Finding the Fourth Proportional to 1,402.21, 2,103.77 and 478.35

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Solution

The fourth proportional to 1,402.21, 2,103.77 and 478.35 is: 717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.21 : 2,103.77 = 478.35 : x
  2. Step 2: Convert to fraction form
    1,402.21/2,103.77 = 478.35/x
  3. Step 3: Cross multiply
    1,402.21x = 2,103.77 × 478.35
  4. Step 4: Simplify right side
    1,402.21x = 1,006,338.38
  5. Step 5: Solve for x
    x = 1,006,338.38/1,402.21
  6. Step 6: Final answer
    x = 717.68

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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.