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Finding the Fourth Proportional to 998.52, 1,497.75 and 564.75

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Solution

The fourth proportional to 998.52, 1,497.75 and 564.75 is: 847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.52 : 1,497.75 = 564.75 : x
  2. Step 2: Convert to fraction form
    998.52/1,497.75 = 564.75/x
  3. Step 3: Cross multiply
    998.52x = 1,497.75 × 564.75
  4. Step 4: Simplify right side
    998.52x = 845,854.31
  5. Step 5: Solve for x
    x = 845,854.31/998.52
  6. Step 6: Final answer
    x = 847.11

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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.