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Finding the Fourth Proportional to 1,142.73, 1,576.87 and 670.58

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Solution

The fourth proportional to 1,142.73, 1,576.87 and 670.58 is: 925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.73 : 1,576.87 = 670.58 : x
  2. Step 2: Convert to fraction form
    1,142.73/1,576.87 = 670.58/x
  3. Step 3: Cross multiply
    1,142.73x = 1,576.87 × 670.58
  4. Step 4: Simplify right side
    1,142.73x = 1,057,406.25
  5. Step 5: Solve for x
    x = 1,057,406.25/1,142.73
  6. Step 6: Final answer
    x = 925.34

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1.5x scale

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.