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Finding the Fourth Proportional to 1,129.92, 1,700.82 and 962.88

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Solution

The fourth proportional to 1,129.92, 1,700.82 and 962.88 is: 1,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.92 : 1,700.82 = 962.88 : x
  2. Step 2: Convert to fraction form
    1,129.92/1,700.82 = 962.88/x
  3. Step 3: Cross multiply
    1,129.92x = 1,700.82 × 962.88
  4. Step 4: Simplify right side
    1,129.92x = 1,637,685.56
  5. Step 5: Solve for x
    x = 1,637,685.56/1,129.92
  6. Step 6: Final answer
    x = 1,449.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.