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Finding the Fourth Proportional to 718.39, 1,077.69 and 285.43

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Solution

The fourth proportional to 718.39, 1,077.69 and 285.43 is: 428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.39 : 1,077.69 = 285.43 : x
  2. Step 2: Convert to fraction form
    718.39/1,077.69 = 285.43/x
  3. Step 3: Cross multiply
    718.39x = 1,077.69 × 285.43
  4. Step 4: Simplify right side
    718.39x = 307,605.06
  5. Step 5: Solve for x
    x = 307,605.06/718.39
  6. Step 6: Final answer
    x = 428.19

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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.