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Finding the Fourth Proportional to 971.38, 1,456.35 and 538.66

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Solution

The fourth proportional to 971.38, 1,456.35 and 538.66 is: 807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.38 : 1,456.35 = 538.66 : x
  2. Step 2: Convert to fraction form
    971.38/1,456.35 = 538.66/x
  3. Step 3: Cross multiply
    971.38x = 1,456.35 × 538.66
  4. Step 4: Simplify right side
    971.38x = 784,477.49
  5. Step 5: Solve for x
    x = 784,477.49/971.38
  6. Step 6: Final answer
    x = 807.59

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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.