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Finding the Fourth Proportional to 1,031.52, 1,424.88 and 982.92

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Solution

The fourth proportional to 1,031.52, 1,424.88 and 982.92 is: 1,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.52 : 1,424.88 = 982.92 : x
  2. Step 2: Convert to fraction form
    1,031.52/1,424.88 = 982.92/x
  3. Step 3: Cross multiply
    1,031.52x = 1,424.88 × 982.92
  4. Step 4: Simplify right side
    1,031.52x = 1,400,543.05
  5. Step 5: Solve for x
    x = 1,400,543.05/1,031.52
  6. Step 6: Final answer
    x = 1,357.75

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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.