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Finding the Fourth Proportional to 713.10, 1,069.61 and 193.13

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Solution

The fourth proportional to 713.10, 1,069.61 and 193.13 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.10 : 1,069.61 = 193.13 : x
  2. Step 2: Convert to fraction form
    713.10/1,069.61 = 193.13/x
  3. Step 3: Cross multiply
    713.10x = 1,069.61 × 193.13
  4. Step 4: Simplify right side
    713.10x = 206,577.49
  5. Step 5: Solve for x
    x = 206,577.49/713.10
  6. Step 6: Final answer
    x = 289.69

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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.