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Finding the Fourth Proportional to 1,029.80, 1,543.17 and 810.65

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Solution

The fourth proportional to 1,029.80, 1,543.17 and 810.65 is: 1,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.80 : 1,543.17 = 810.65 : x
  2. Step 2: Convert to fraction form
    1,029.80/1,543.17 = 810.65/x
  3. Step 3: Cross multiply
    1,029.80x = 1,543.17 × 810.65
  4. Step 4: Simplify right side
    1,029.80x = 1,250,970.76
  5. Step 5: Solve for x
    x = 1,250,970.76/1,029.80
  6. Step 6: Final answer
    x = 1,214.77

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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.