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Finding the Fourth Proportional to 1,079.80, 1,617.27 and 646.05

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Solution

The fourth proportional to 1,079.80, 1,617.27 and 646.05 is: 967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.80 : 1,617.27 = 646.05 : x
  2. Step 2: Convert to fraction form
    1,079.80/1,617.27 = 646.05/x
  3. Step 3: Cross multiply
    1,079.80x = 1,617.27 × 646.05
  4. Step 4: Simplify right side
    1,079.80x = 1,044,837.28
  5. Step 5: Solve for x
    x = 1,044,837.28/1,079.80
  6. Step 6: Final answer
    x = 967.62

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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.