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Finding the Fourth Proportional to 1,142.57, 1,576.74 and 618.59

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Solution

The fourth proportional to 1,142.57, 1,576.74 and 618.59 is: 853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.57 : 1,576.74 = 618.59 : x
  2. Step 2: Convert to fraction form
    1,142.57/1,576.74 = 618.59/x
  3. Step 3: Cross multiply
    1,142.57x = 1,576.74 × 618.59
  4. Step 4: Simplify right side
    1,142.57x = 975,355.60
  5. Step 5: Solve for x
    x = 975,355.60/1,142.57
  6. Step 6: Final answer
    x = 853.65

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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.