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Finding the Fourth Proportional to 713.40, 1,069.89 and 471.21

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Solution

The fourth proportional to 713.40, 1,069.89 and 471.21 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 1,069.89 = 471.21 : x
  2. Step 2: Convert to fraction form
    713.40/1,069.89 = 471.21/x
  3. Step 3: Cross multiply
    713.40x = 1,069.89 × 471.21
  4. Step 4: Simplify right side
    713.40x = 504,142.87
  5. Step 5: Solve for x
    x = 504,142.87/713.40
  6. Step 6: Final answer
    x = 706.68

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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.