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Finding the Fourth Proportional to 1,079.28, 1,499.40 and 1,069.16

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Solution

The fourth proportional to 1,079.28, 1,499.40 and 1,069.16 is: 1,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.28 : 1,499.40 = 1,069.16 : x
  2. Step 2: Convert to fraction form
    1,079.28/1,499.40 = 1,069.16/x
  3. Step 3: Cross multiply
    1,079.28x = 1,499.40 × 1,069.16
  4. Step 4: Simplify right side
    1,079.28x = 1,603,098.50
  5. Step 5: Solve for x
    x = 1,603,098.50/1,079.28
  6. Step 6: Final answer
    x = 1,485.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.