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Finding the Fourth Proportional to 1,040.53, 1,560.52 and 578.56

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Solution

The fourth proportional to 1,040.53, 1,560.52 and 578.56 is: 867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.53 : 1,560.52 = 578.56 : x
  2. Step 2: Convert to fraction form
    1,040.53/1,560.52 = 578.56/x
  3. Step 3: Cross multiply
    1,040.53x = 1,560.52 × 578.56
  4. Step 4: Simplify right side
    1,040.53x = 902,851.27
  5. Step 5: Solve for x
    x = 902,851.27/1,040.53
  6. Step 6: Final answer
    x = 867.69

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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.