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Finding the Fourth Proportional to 1,047.45, 1,571.19 and 815.79

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Solution

The fourth proportional to 1,047.45, 1,571.19 and 815.79 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.45 : 1,571.19 = 815.79 : x
  2. Step 2: Convert to fraction form
    1,047.45/1,571.19 = 815.79/x
  3. Step 3: Cross multiply
    1,047.45x = 1,571.19 × 815.79
  4. Step 4: Simplify right side
    1,047.45x = 1,281,761.09
  5. Step 5: Solve for x
    x = 1,281,761.09/1,047.45
  6. Step 6: Final answer
    x = 1,223.70

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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.