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Finding the Fourth Proportional to 1,142.64, 1,576.71 and 670.55

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Solution

The fourth proportional to 1,142.64, 1,576.71 and 670.55 is: 925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,576.71 = 670.55 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,576.71 = 670.55/x
  3. Step 3: Cross multiply
    1,142.64x = 1,576.71 × 670.55
  4. Step 4: Simplify right side
    1,142.64x = 1,057,255.01
  5. Step 5: Solve for x
    x = 1,057,255.01/1,142.64
  6. Step 6: Final answer
    x = 925.27

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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.