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Finding the Fourth Proportional to 698.87, 1,048.29 and 314.12

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Solution

The fourth proportional to 698.87, 1,048.29 and 314.12 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.87 : 1,048.29 = 314.12 : x
  2. Step 2: Convert to fraction form
    698.87/1,048.29 = 314.12/x
  3. Step 3: Cross multiply
    698.87x = 1,048.29 × 314.12
  4. Step 4: Simplify right side
    698.87x = 329,283.61
  5. Step 5: Solve for x
    x = 329,283.61/698.87
  6. Step 6: Final answer
    x = 471.17

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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.