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Finding the Fourth Proportional to 1,026.76, 1,542.12 and 980.68

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Solution

The fourth proportional to 1,026.76, 1,542.12 and 980.68 is: 1,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.76 : 1,542.12 = 980.68 : x
  2. Step 2: Convert to fraction form
    1,026.76/1,542.12 = 980.68/x
  3. Step 3: Cross multiply
    1,026.76x = 1,542.12 × 980.68
  4. Step 4: Simplify right side
    1,026.76x = 1,512,326.24
  5. Step 5: Solve for x
    x = 1,512,326.24/1,026.76
  6. Step 6: Final answer
    x = 1,472.91

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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.