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Finding the Fourth Proportional to 1,127.67, 1,691.64 and 478.19

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Solution

The fourth proportional to 1,127.67, 1,691.64 and 478.19 is: 717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.67 : 1,691.64 = 478.19 : x
  2. Step 2: Convert to fraction form
    1,127.67/1,691.64 = 478.19/x
  3. Step 3: Cross multiply
    1,127.67x = 1,691.64 × 478.19
  4. Step 4: Simplify right side
    1,127.67x = 808,916.87
  5. Step 5: Solve for x
    x = 808,916.87/1,127.67
  6. Step 6: Final answer
    x = 717.33

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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.