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Finding the Fourth Proportional to 997.39, 1,488.54 and 971.47

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Solution

The fourth proportional to 997.39, 1,488.54 and 971.47 is: 1,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.39 : 1,488.54 = 971.47 : x
  2. Step 2: Convert to fraction form
    997.39/1,488.54 = 971.47/x
  3. Step 3: Cross multiply
    997.39x = 1,488.54 × 971.47
  4. Step 4: Simplify right side
    997.39x = 1,446,071.95
  5. Step 5: Solve for x
    x = 1,446,071.95/997.39
  6. Step 6: Final answer
    x = 1,449.86

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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.