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Finding the Fourth Proportional to 843.65, 1,265.47 and 705.14

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Solution

The fourth proportional to 843.65, 1,265.47 and 705.14 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.65 : 1,265.47 = 705.14 : x
  2. Step 2: Convert to fraction form
    843.65/1,265.47 = 705.14/x
  3. Step 3: Cross multiply
    843.65x = 1,265.47 × 705.14
  4. Step 4: Simplify right side
    843.65x = 892,323.66
  5. Step 5: Solve for x
    x = 892,323.66/843.65
  6. Step 6: Final answer
    x = 1,057.70

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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.