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Finding the Fourth Proportional to 1,079.18, 1,618.77 and 309.68

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Solution

The fourth proportional to 1,079.18, 1,618.77 and 309.68 is: 464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.18 : 1,618.77 = 309.68 : x
  2. Step 2: Convert to fraction form
    1,079.18/1,618.77 = 309.68/x
  3. Step 3: Cross multiply
    1,079.18x = 1,618.77 × 309.68
  4. Step 4: Simplify right side
    1,079.18x = 501,300.69
  5. Step 5: Solve for x
    x = 501,300.69/1,079.18
  6. Step 6: Final answer
    x = 464.52

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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.