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Finding the Fourth Proportional to 1,365.23, 2,047.27 and 748.76

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Solution

The fourth proportional to 1,365.23, 2,047.27 and 748.76 is: 1,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.23 : 2,047.27 = 748.76 : x
  2. Step 2: Convert to fraction form
    1,365.23/2,047.27 = 748.76/x
  3. Step 3: Cross multiply
    1,365.23x = 2,047.27 × 748.76
  4. Step 4: Simplify right side
    1,365.23x = 1,532,913.89
  5. Step 5: Solve for x
    x = 1,532,913.89/1,365.23
  6. Step 6: Final answer
    x = 1,122.82

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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.