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Finding the Fourth Proportional to 598.14, 892.08 and 585.96

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Solution

The fourth proportional to 598.14, 892.08 and 585.96 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 892.08 = 585.96 : x
  2. Step 2: Convert to fraction form
    598.14/892.08 = 585.96/x
  3. Step 3: Cross multiply
    598.14x = 892.08 × 585.96
  4. Step 4: Simplify right side
    598.14x = 522,723.20
  5. Step 5: Solve for x
    x = 522,723.20/598.14
  6. Step 6: Final answer
    x = 873.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.