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Finding the Fourth Proportional to 698.60, 1,047.90 and 287.48

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Solution

The fourth proportional to 698.60, 1,047.90 and 287.48 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 1,047.90 = 287.48 : x
  2. Step 2: Convert to fraction form
    698.60/1,047.90 = 287.48/x
  3. Step 3: Cross multiply
    698.60x = 1,047.90 × 287.48
  4. Step 4: Simplify right side
    698.60x = 301,250.29
  5. Step 5: Solve for x
    x = 301,250.29/698.60
  6. Step 6: Final answer
    x = 431.22

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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.