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Finding the Fourth Proportional to 598.75, 892.75 and 587.81

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Solution

The fourth proportional to 598.75, 892.75 and 587.81 is: 876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 892.75 = 587.81 : x
  2. Step 2: Convert to fraction form
    598.75/892.75 = 587.81/x
  3. Step 3: Cross multiply
    598.75x = 892.75 × 587.81
  4. Step 4: Simplify right side
    598.75x = 524,769.24
  5. Step 5: Solve for x
    x = 524,769.24/598.75
  6. Step 6: Final answer
    x = 876.44

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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.