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Finding the Fourth Proportional to 1,365.12, 2,047.68 and 487.80

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Solution

The fourth proportional to 1,365.12, 2,047.68 and 487.80 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.12 : 2,047.68 = 487.80 : x
  2. Step 2: Convert to fraction form
    1,365.12/2,047.68 = 487.80/x
  3. Step 3: Cross multiply
    1,365.12x = 2,047.68 × 487.80
  4. Step 4: Simplify right side
    1,365.12x = 998,858.30
  5. Step 5: Solve for x
    x = 998,858.30/1,365.12
  6. Step 6: Final answer
    x = 731.70

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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.