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Finding the Fourth Proportional to 1,026.37, 1,543.47 and 818.61

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Solution

The fourth proportional to 1,026.37, 1,543.47 and 818.61 is: 1,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.37 : 1,543.47 = 818.61 : x
  2. Step 2: Convert to fraction form
    1,026.37/1,543.47 = 818.61/x
  3. Step 3: Cross multiply
    1,026.37x = 1,543.47 × 818.61
  4. Step 4: Simplify right side
    1,026.37x = 1,263,499.98
  5. Step 5: Solve for x
    x = 1,263,499.98/1,026.37
  6. Step 6: Final answer
    x = 1,231.04

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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.