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Finding the Fourth Proportional to 698.66, 1,048.54 and 314.18

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Solution

The fourth proportional to 698.66, 1,048.54 and 314.18 is: 471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.66 : 1,048.54 = 314.18 : x
  2. Step 2: Convert to fraction form
    698.66/1,048.54 = 314.18/x
  3. Step 3: Cross multiply
    698.66x = 1,048.54 × 314.18
  4. Step 4: Simplify right side
    698.66x = 329,430.30
  5. Step 5: Solve for x
    x = 329,430.30/698.66
  6. Step 6: Final answer
    x = 471.52

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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.