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Finding the Fourth Proportional to 1,079.34, 1,618.55 and 386.19

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Solution

The fourth proportional to 1,079.34, 1,618.55 and 386.19 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.34 : 1,618.55 = 386.19 : x
  2. Step 2: Convert to fraction form
    1,079.34/1,618.55 = 386.19/x
  3. Step 3: Cross multiply
    1,079.34x = 1,618.55 × 386.19
  4. Step 4: Simplify right side
    1,079.34x = 625,059.73
  5. Step 5: Solve for x
    x = 625,059.73/1,079.34
  6. Step 6: Final answer
    x = 579.11

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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.