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Finding the Fourth Proportional to 1,100.07, 1,517.94 and 658.08

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Solution

The fourth proportional to 1,100.07, 1,517.94 and 658.08 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.07 : 1,517.94 = 658.08 : x
  2. Step 2: Convert to fraction form
    1,100.07/1,517.94 = 658.08/x
  3. Step 3: Cross multiply
    1,100.07x = 1,517.94 × 658.08
  4. Step 4: Simplify right side
    1,100.07x = 998,925.96
  5. Step 5: Solve for x
    x = 998,925.96/1,100.07
  6. Step 6: Final answer
    x = 908.06

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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.