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Finding the Fourth Proportional to 1,079.12, 1,617.77 and 559.10

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Solution

The fourth proportional to 1,079.12, 1,617.77 and 559.10 is: 838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.12 : 1,617.77 = 559.10 : x
  2. Step 2: Convert to fraction form
    1,079.12/1,617.77 = 559.10/x
  3. Step 3: Cross multiply
    1,079.12x = 1,617.77 × 559.10
  4. Step 4: Simplify right side
    1,079.12x = 904,500.65
  5. Step 5: Solve for x
    x = 904,500.65/1,079.12
  6. Step 6: Final answer
    x = 838.18

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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.