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Finding the Fourth Proportional to 1,029.28, 1,542.48 and 876.64

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Solution

The fourth proportional to 1,029.28, 1,542.48 and 876.64 is: 1,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.28 : 1,542.48 = 876.64 : x
  2. Step 2: Convert to fraction form
    1,029.28/1,542.48 = 876.64/x
  3. Step 3: Cross multiply
    1,029.28x = 1,542.48 × 876.64
  4. Step 4: Simplify right side
    1,029.28x = 1,352,199.67
  5. Step 5: Solve for x
    x = 1,352,199.67/1,029.28
  6. Step 6: Final answer
    x = 1,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.