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Finding the Fourth Proportional to 585.98, 879.13 and 487.95

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Solution

The fourth proportional to 585.98, 879.13 and 487.95 is: 732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 879.13 = 487.95 : x
  2. Step 2: Convert to fraction form
    585.98/879.13 = 487.95/x
  3. Step 3: Cross multiply
    585.98x = 879.13 × 487.95
  4. Step 4: Simplify right side
    585.98x = 428,971.48
  5. Step 5: Solve for x
    x = 428,971.48/585.98
  6. Step 6: Final answer
    x = 732.06

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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.