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Finding the Fourth Proportional to 998.60, 1,496.93 and 560.07

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Solution

The fourth proportional to 998.60, 1,496.93 and 560.07 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.60 : 1,496.93 = 560.07 : x
  2. Step 2: Convert to fraction form
    998.60/1,496.93 = 560.07/x
  3. Step 3: Cross multiply
    998.60x = 1,496.93 × 560.07
  4. Step 4: Simplify right side
    998.60x = 838,385.59
  5. Step 5: Solve for x
    x = 838,385.59/998.60
  6. Step 6: Final answer
    x = 839.56

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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.