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Finding the Fourth Proportional to 1,100.74, 1,518.78 and 658.57

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Solution

The fourth proportional to 1,100.74, 1,518.78 and 658.57 is: 908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.74 : 1,518.78 = 658.57 : x
  2. Step 2: Convert to fraction form
    1,100.74/1,518.78 = 658.57/x
  3. Step 3: Cross multiply
    1,100.74x = 1,518.78 × 658.57
  4. Step 4: Simplify right side
    1,100.74x = 1,000,222.94
  5. Step 5: Solve for x
    x = 1,000,222.94/1,100.74
  6. Step 6: Final answer
    x = 908.68

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