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Finding the Fourth Proportional to 998, 1,377.24 and 584

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Solution

The fourth proportional to 998, 1,377.24 and 584 is: 805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 1,377.24 = 584 : x
  2. Step 2: Convert to fraction form
    998/1,377.24 = 584/x
  3. Step 3: Cross multiply
    998x = 1,377.24 × 584
  4. Step 4: Simplify right side
    998x = 804,308.16
  5. Step 5: Solve for x
    x = 804,308.16/998
  6. Step 6: Final answer
    x = 805.92

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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.