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Finding the Fourth Proportional to 971.12, 1,456.52 and 807.64

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Solution

The fourth proportional to 971.12, 1,456.52 and 807.64 is: 1,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.12 : 1,456.52 = 807.64 : x
  2. Step 2: Convert to fraction form
    971.12/1,456.52 = 807.64/x
  3. Step 3: Cross multiply
    971.12x = 1,456.52 × 807.64
  4. Step 4: Simplify right side
    971.12x = 1,176,343.81
  5. Step 5: Solve for x
    x = 1,176,343.81/971.12
  6. Step 6: Final answer
    x = 1,211.33

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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.