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Finding the Fourth Proportional to 1,029.72, 1,545.26 and 543.11

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Solution

The fourth proportional to 1,029.72, 1,545.26 and 543.11 is: 815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.72 : 1,545.26 = 543.11 : x
  2. Step 2: Convert to fraction form
    1,029.72/1,545.26 = 543.11/x
  3. Step 3: Cross multiply
    1,029.72x = 1,545.26 × 543.11
  4. Step 4: Simplify right side
    1,029.72x = 839,247.46
  5. Step 5: Solve for x
    x = 839,247.46/1,029.72
  6. Step 6: Final answer
    x = 815.03

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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.