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Finding the Fourth Proportional to 1,029.44, 1,541.49 and 864.53

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Solution

The fourth proportional to 1,029.44, 1,541.49 and 864.53 is: 1,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.44 : 1,541.49 = 864.53 : x
  2. Step 2: Convert to fraction form
    1,029.44/1,541.49 = 864.53/x
  3. Step 3: Cross multiply
    1,029.44x = 1,541.49 × 864.53
  4. Step 4: Simplify right side
    1,029.44x = 1,332,653.40
  5. Step 5: Solve for x
    x = 1,332,653.40/1,029.44
  6. Step 6: Final answer
    x = 1,294.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.