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Finding the Fourth Proportional to 998.80, 1,499.40 and 560.40

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Solution

The fourth proportional to 998.80, 1,499.40 and 560.40 is: 841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.80 : 1,499.40 = 560.40 : x
  2. Step 2: Convert to fraction form
    998.80/1,499.40 = 560.40/x
  3. Step 3: Cross multiply
    998.80x = 1,499.40 × 560.40
  4. Step 4: Simplify right side
    998.80x = 840,263.76
  5. Step 5: Solve for x
    x = 840,263.76/998.80
  6. Step 6: Final answer
    x = 841.27

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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.