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Finding the Fourth Proportional to 1,079.17, 1,618.98 and 348.80

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Solution

The fourth proportional to 1,079.17, 1,618.98 and 348.80 is: 523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.17 : 1,618.98 = 348.80 : x
  2. Step 2: Convert to fraction form
    1,079.17/1,618.98 = 348.80/x
  3. Step 3: Cross multiply
    1,079.17x = 1,618.98 × 348.80
  4. Step 4: Simplify right side
    1,079.17x = 564,700.22
  5. Step 5: Solve for x
    x = 564,700.22/1,079.17
  6. Step 6: Final answer
    x = 523.28

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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.