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Finding the Fourth Proportional to 1,047.59, 1,568.74 and 773.89

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Solution

The fourth proportional to 1,047.59, 1,568.74 and 773.89 is: 1,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.59 : 1,568.74 = 773.89 : x
  2. Step 2: Convert to fraction form
    1,047.59/1,568.74 = 773.89/x
  3. Step 3: Cross multiply
    1,047.59x = 1,568.74 × 773.89
  4. Step 4: Simplify right side
    1,047.59x = 1,214,032.20
  5. Step 5: Solve for x
    x = 1,214,032.20/1,047.59
  6. Step 6: Final answer
    x = 1,158.88

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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.