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Finding the Fourth Proportional to 801.87, 1,204.13 and 524.67

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Solution

The fourth proportional to 801.87, 1,204.13 and 524.67 is: 787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.87 : 1,204.13 = 524.67 : x
  2. Step 2: Convert to fraction form
    801.87/1,204.13 = 524.67/x
  3. Step 3: Cross multiply
    801.87x = 1,204.13 × 524.67
  4. Step 4: Simplify right side
    801.87x = 631,770.89
  5. Step 5: Solve for x
    x = 631,770.89/801.87
  6. Step 6: Final answer
    x = 787.87

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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.