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Finding the Fourth Proportional to 1,079.85, 1,616.04 and 882.57

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Solution

The fourth proportional to 1,079.85, 1,616.04 and 882.57 is: 1,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.85 : 1,616.04 = 882.57 : x
  2. Step 2: Convert to fraction form
    1,079.85/1,616.04 = 882.57/x
  3. Step 3: Cross multiply
    1,079.85x = 1,616.04 × 882.57
  4. Step 4: Simplify right side
    1,079.85x = 1,426,268.42
  5. Step 5: Solve for x
    x = 1,426,268.42/1,079.85
  6. Step 6: Final answer
    x = 1,320.80

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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.