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Finding the Fourth Proportional to 718.43, 1,077.78 and 285.89

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Solution

The fourth proportional to 718.43, 1,077.78 and 285.89 is: 428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.43 : 1,077.78 = 285.89 : x
  2. Step 2: Convert to fraction form
    718.43/1,077.78 = 285.89/x
  3. Step 3: Cross multiply
    718.43x = 1,077.78 × 285.89
  4. Step 4: Simplify right side
    718.43x = 308,126.52
  5. Step 5: Solve for x
    x = 308,126.52/718.43
  6. Step 6: Final answer
    x = 428.89

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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.