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Finding the Fourth Proportional to 1,142.66, 1,576.88 and 645.43

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Solution

The fourth proportional to 1,142.66, 1,576.88 and 645.43 is: 890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.66 : 1,576.88 = 645.43 : x
  2. Step 2: Convert to fraction form
    1,142.66/1,576.88 = 645.43/x
  3. Step 3: Cross multiply
    1,142.66x = 1,576.88 × 645.43
  4. Step 4: Simplify right side
    1,142.66x = 1,017,762.43
  5. Step 5: Solve for x
    x = 1,017,762.43/1,142.66
  6. Step 6: Final answer
    x = 890.70

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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.