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Finding the Fourth Proportional to 869.80, 1,302.78 and 849.16

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Solution

The fourth proportional to 869.80, 1,302.78 and 849.16 is: 1,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.80 : 1,302.78 = 849.16 : x
  2. Step 2: Convert to fraction form
    869.80/1,302.78 = 849.16/x
  3. Step 3: Cross multiply
    869.80x = 1,302.78 × 849.16
  4. Step 4: Simplify right side
    869.80x = 1,106,268.66
  5. Step 5: Solve for x
    x = 1,106,268.66/869.80
  6. Step 6: Final answer
    x = 1,271.87

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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.