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Finding the Fourth Proportional to 998.48, 1,496.10 and 708.50

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Solution

The fourth proportional to 998.48, 1,496.10 and 708.50 is: 1,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.48 : 1,496.10 = 708.50 : x
  2. Step 2: Convert to fraction form
    998.48/1,496.10 = 708.50/x
  3. Step 3: Cross multiply
    998.48x = 1,496.10 × 708.50
  4. Step 4: Simplify right side
    998.48x = 1,059,986.85
  5. Step 5: Solve for x
    x = 1,059,986.85/998.48
  6. Step 6: Final answer
    x = 1,061.60

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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.