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Finding the Fourth Proportional to 597.86, 824.61 and 588.75

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Solution

The fourth proportional to 597.86, 824.61 and 588.75 is: 812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 824.61 = 588.75 : x
  2. Step 2: Convert to fraction form
    597.86/824.61 = 588.75/x
  3. Step 3: Cross multiply
    597.86x = 824.61 × 588.75
  4. Step 4: Simplify right side
    597.86x = 485,488.25
  5. Step 5: Solve for x
    x = 485,488.25/597.86
  6. Step 6: Final answer
    x = 812.05

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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.