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Finding the Fourth Proportional to 1,140.41, 1,573.77 and 616.45

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Solution

The fourth proportional to 1,140.41, 1,573.77 and 616.45 is: 850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.41 : 1,573.77 = 616.45 : x
  2. Step 2: Convert to fraction form
    1,140.41/1,573.77 = 616.45/x
  3. Step 3: Cross multiply
    1,140.41x = 1,573.77 × 616.45
  4. Step 4: Simplify right side
    1,140.41x = 970,142.65
  5. Step 5: Solve for x
    x = 970,142.65/1,140.41
  6. Step 6: Final answer
    x = 850.70

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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.