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Finding the Fourth Proportional to 1,117.83, 1,542.72 and 645.75

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Solution

The fourth proportional to 1,117.83, 1,542.72 and 645.75 is: 891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.83 : 1,542.72 = 645.75 : x
  2. Step 2: Convert to fraction form
    1,117.83/1,542.72 = 645.75/x
  3. Step 3: Cross multiply
    1,117.83x = 1,542.72 × 645.75
  4. Step 4: Simplify right side
    1,117.83x = 996,211.44
  5. Step 5: Solve for x
    x = 996,211.44/1,117.83
  6. Step 6: Final answer
    x = 891.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.