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Finding the Fourth Proportional to 713.43, 1,069.65 and 404.46

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Solution

The fourth proportional to 713.43, 1,069.65 and 404.46 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.43 : 1,069.65 = 404.46 : x
  2. Step 2: Convert to fraction form
    713.43/1,069.65 = 404.46/x
  3. Step 3: Cross multiply
    713.43x = 1,069.65 × 404.46
  4. Step 4: Simplify right side
    713.43x = 432,630.64
  5. Step 5: Solve for x
    x = 432,630.64/713.43
  6. Step 6: Final answer
    x = 606.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.