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Finding the Fourth Proportional to 1,140.57, 1,573.98 and 616.59

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Solution

The fourth proportional to 1,140.57, 1,573.98 and 616.59 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.57 : 1,573.98 = 616.59 : x
  2. Step 2: Convert to fraction form
    1,140.57/1,573.98 = 616.59/x
  3. Step 3: Cross multiply
    1,140.57x = 1,573.98 × 616.59
  4. Step 4: Simplify right side
    1,140.57x = 970,500.33
  5. Step 5: Solve for x
    x = 970,500.33/1,140.57
  6. Step 6: Final answer
    x = 850.89

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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.