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Finding the Fourth Proportional to 1,142.60, 1,576.71 and 670.59

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Solution

The fourth proportional to 1,142.60, 1,576.71 and 670.59 is: 925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.60 : 1,576.71 = 670.59 : x
  2. Step 2: Convert to fraction form
    1,142.60/1,576.71 = 670.59/x
  3. Step 3: Cross multiply
    1,142.60x = 1,576.71 × 670.59
  4. Step 4: Simplify right side
    1,142.60x = 1,057,325.96
  5. Step 5: Solve for x
    x = 1,057,325.96/1,142.60
  6. Step 6: Final answer
    x = 925.37

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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.