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Finding the Fourth Proportional to 1,117.82, 1,677.06 and 337.82

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Solution

The fourth proportional to 1,117.82, 1,677.06 and 337.82 is: 506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.82 : 1,677.06 = 337.82 : x
  2. Step 2: Convert to fraction form
    1,117.82/1,677.06 = 337.82/x
  3. Step 3: Cross multiply
    1,117.82x = 1,677.06 × 337.82
  4. Step 4: Simplify right side
    1,117.82x = 566,544.41
  5. Step 5: Solve for x
    x = 566,544.41/1,117.82
  6. Step 6: Final answer
    x = 506.83

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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.