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Finding the Fourth Proportional to 1,079.12, 1,618.84 and 309.62

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Solution

The fourth proportional to 1,079.12, 1,618.84 and 309.62 is: 464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.12 : 1,618.84 = 309.62 : x
  2. Step 2: Convert to fraction form
    1,079.12/1,618.84 = 309.62/x
  3. Step 3: Cross multiply
    1,079.12x = 1,618.84 × 309.62
  4. Step 4: Simplify right side
    1,079.12x = 501,225.24
  5. Step 5: Solve for x
    x = 501,225.24/1,079.12
  6. Step 6: Final answer
    x = 464.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.