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Finding the Fourth Proportional to 1,142.63, 1,576.82 and 618.66

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Solution

The fourth proportional to 1,142.63, 1,576.82 and 618.66 is: 853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.63 : 1,576.82 = 618.66 : x
  2. Step 2: Convert to fraction form
    1,142.63/1,576.82 = 618.66/x
  3. Step 3: Cross multiply
    1,142.63x = 1,576.82 × 618.66
  4. Step 4: Simplify right side
    1,142.63x = 975,517.01
  5. Step 5: Solve for x
    x = 975,517.01/1,142.63
  6. Step 6: Final answer
    x = 853.75

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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.