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Finding the Fourth Proportional to 1,365.24, 2,047.94 and 487.70

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Solution

The fourth proportional to 1,365.24, 2,047.94 and 487.70 is: 731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.24 : 2,047.94 = 487.70 : x
  2. Step 2: Convert to fraction form
    1,365.24/2,047.94 = 487.70/x
  3. Step 3: Cross multiply
    1,365.24x = 2,047.94 × 487.70
  4. Step 4: Simplify right side
    1,365.24x = 998,780.34
  5. Step 5: Solve for x
    x = 998,780.34/1,365.24
  6. Step 6: Final answer
    x = 731.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.