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Finding the Fourth Proportional to 698.57, 1,047.30 and 313.55

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Solution

The fourth proportional to 698.57, 1,047.30 and 313.55 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 1,047.30 = 313.55 : x
  2. Step 2: Convert to fraction form
    698.57/1,047.30 = 313.55/x
  3. Step 3: Cross multiply
    698.57x = 1,047.30 × 313.55
  4. Step 4: Simplify right side
    698.57x = 328,375.68
  5. Step 5: Solve for x
    x = 328,375.68/698.57
  6. Step 6: Final answer
    x = 470.07

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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.