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Finding the Fourth Proportional to 698.63, 1,047.94 and 282.15

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Solution

The fourth proportional to 698.63, 1,047.94 and 282.15 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 1,047.94 = 282.15 : x
  2. Step 2: Convert to fraction form
    698.63/1,047.94 = 282.15/x
  3. Step 3: Cross multiply
    698.63x = 1,047.94 × 282.15
  4. Step 4: Simplify right side
    698.63x = 295,675.57
  5. Step 5: Solve for x
    x = 295,675.57/698.63
  6. Step 6: Final answer
    x = 423.23

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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.