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Finding the Fourth Proportional to 1,079.40, 1,619.10 and 532.65

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Solution

The fourth proportional to 1,079.40, 1,619.10 and 532.65 is: 798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.40 : 1,619.10 = 532.65 : x
  2. Step 2: Convert to fraction form
    1,079.40/1,619.10 = 532.65/x
  3. Step 3: Cross multiply
    1,079.40x = 1,619.10 × 532.65
  4. Step 4: Simplify right side
    1,079.40x = 862,413.62
  5. Step 5: Solve for x
    x = 862,413.62/1,079.40
  6. Step 6: Final answer
    x = 798.98

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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.