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Finding the Fourth Proportional to 829.24, 1,143.68 and 705.24

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Solution

The fourth proportional to 829.24, 1,143.68 and 705.24 is: 972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,143.68 = 705.24 : x
  2. Step 2: Convert to fraction form
    829.24/1,143.68 = 705.24/x
  3. Step 3: Cross multiply
    829.24x = 1,143.68 × 705.24
  4. Step 4: Simplify right side
    829.24x = 806,568.88
  5. Step 5: Solve for x
    x = 806,568.88/829.24
  6. Step 6: Final answer
    x = 972.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.