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Finding the Fourth Proportional to 975.71, 1,456.02 and 871.88

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Solution

The fourth proportional to 975.71, 1,456.02 and 871.88 is: 1,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.71 : 1,456.02 = 871.88 : x
  2. Step 2: Convert to fraction form
    975.71/1,456.02 = 871.88/x
  3. Step 3: Cross multiply
    975.71x = 1,456.02 × 871.88
  4. Step 4: Simplify right side
    975.71x = 1,269,467.44
  5. Step 5: Solve for x
    x = 1,269,467.44/975.71
  6. Step 6: Final answer
    x = 1,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.