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Finding the Fourth Proportional to 829, 1,143.46 and 497.16

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Solution

The fourth proportional to 829, 1,143.46 and 497.16 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,143.46 = 497.16 : x
  2. Step 2: Convert to fraction form
    829/1,143.46 = 497.16/x
  3. Step 3: Cross multiply
    829x = 1,143.46 × 497.16
  4. Step 4: Simplify right side
    829x = 568,482.57
  5. Step 5: Solve for x
    x = 568,482.57/829
  6. Step 6: Final answer
    x = 685.74

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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.