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Finding the Fourth Proportional to 801.90, 1,200.42 and 585.63

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Solution

The fourth proportional to 801.90, 1,200.42 and 585.63 is: 876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.90 : 1,200.42 = 585.63 : x
  2. Step 2: Convert to fraction form
    801.90/1,200.42 = 585.63/x
  3. Step 3: Cross multiply
    801.90x = 1,200.42 × 585.63
  4. Step 4: Simplify right side
    801.90x = 703,001.96
  5. Step 5: Solve for x
    x = 703,001.96/801.90
  6. Step 6: Final answer
    x = 876.67

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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.