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Finding the Fourth Proportional to 598.29, 825.89 and 586.14

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Solution

The fourth proportional to 598.29, 825.89 and 586.14 is: 809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.29 : 825.89 = 586.14 : x
  2. Step 2: Convert to fraction form
    598.29/825.89 = 586.14/x
  3. Step 3: Cross multiply
    598.29x = 825.89 × 586.14
  4. Step 4: Simplify right side
    598.29x = 484,084.23
  5. Step 5: Solve for x
    x = 484,084.23/598.29
  6. Step 6: Final answer
    x = 809.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.