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Finding the Fourth Proportional to 829.12, 1,143.84 and 653.76

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Solution

The fourth proportional to 829.12, 1,143.84 and 653.76 is: 901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,143.84 = 653.76 : x
  2. Step 2: Convert to fraction form
    829.12/1,143.84 = 653.76/x
  3. Step 3: Cross multiply
    829.12x = 1,143.84 × 653.76
  4. Step 4: Simplify right side
    829.12x = 747,796.84
  5. Step 5: Solve for x
    x = 747,796.84/829.12
  6. Step 6: Final answer
    x = 901.92

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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.