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Finding the Fourth Proportional to 1,029.44, 1,543.08 and 814.16

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Solution

The fourth proportional to 1,029.44, 1,543.08 and 814.16 is: 1,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.44 : 1,543.08 = 814.16 : x
  2. Step 2: Convert to fraction form
    1,029.44/1,543.08 = 814.16/x
  3. Step 3: Cross multiply
    1,029.44x = 1,543.08 × 814.16
  4. Step 4: Simplify right side
    1,029.44x = 1,256,314.01
  5. Step 5: Solve for x
    x = 1,256,314.01/1,029.44
  6. Step 6: Final answer
    x = 1,220.39

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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.