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Finding the Fourth Proportional to 1,030.38, 1,543.77 and 858.16

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Solution

The fourth proportional to 1,030.38, 1,543.77 and 858.16 is: 1,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.38 : 1,543.77 = 858.16 : x
  2. Step 2: Convert to fraction form
    1,030.38/1,543.77 = 858.16/x
  3. Step 3: Cross multiply
    1,030.38x = 1,543.77 × 858.16
  4. Step 4: Simplify right side
    1,030.38x = 1,324,793.94
  5. Step 5: Solve for x
    x = 1,324,793.94/1,030.38
  6. Step 6: Final answer
    x = 1,285.73

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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.