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Finding the Fourth Proportional to 1,029.38, 1,544.22 and 847.53

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Solution

The fourth proportional to 1,029.38, 1,544.22 and 847.53 is: 1,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.38 : 1,544.22 = 847.53 : x
  2. Step 2: Convert to fraction form
    1,029.38/1,544.22 = 847.53/x
  3. Step 3: Cross multiply
    1,029.38x = 1,544.22 × 847.53
  4. Step 4: Simplify right side
    1,029.38x = 1,308,772.78
  5. Step 5: Solve for x
    x = 1,308,772.78/1,029.38
  6. Step 6: Final answer
    x = 1,271.42

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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.