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Finding the Fourth Proportional to 991.96, 1,488.34 and 343.15

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Solution

The fourth proportional to 991.96, 1,488.34 and 343.15 is: 514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.96 : 1,488.34 = 343.15 : x
  2. Step 2: Convert to fraction form
    991.96/1,488.34 = 343.15/x
  3. Step 3: Cross multiply
    991.96x = 1,488.34 × 343.15
  4. Step 4: Simplify right side
    991.96x = 510,720.58
  5. Step 5: Solve for x
    x = 510,720.58/991.96
  6. Step 6: Final answer
    x = 514.86

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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.