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Finding the Fourth Proportional to 1,118.47, 1,677.17 and 338.33

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Solution

The fourth proportional to 1,118.47, 1,677.17 and 338.33 is: 507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.47 : 1,677.17 = 338.33 : x
  2. Step 2: Convert to fraction form
    1,118.47/1,677.17 = 338.33/x
  3. Step 3: Cross multiply
    1,118.47x = 1,677.17 × 338.33
  4. Step 4: Simplify right side
    1,118.47x = 567,436.93
  5. Step 5: Solve for x
    x = 567,436.93/1,118.47
  6. Step 6: Final answer
    x = 507.33

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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.