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Finding the Fourth Proportional to 713.34, 1,069.98 and 219.74

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Solution

The fourth proportional to 713.34, 1,069.98 and 219.74 is: 329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.34 : 1,069.98 = 219.74 : x
  2. Step 2: Convert to fraction form
    713.34/1,069.98 = 219.74/x
  3. Step 3: Cross multiply
    713.34x = 1,069.98 × 219.74
  4. Step 4: Simplify right side
    713.34x = 235,117.41
  5. Step 5: Solve for x
    x = 235,117.41/713.34
  6. Step 6: Final answer
    x = 329.60

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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.