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Finding the Fourth Proportional to 829.05, 1,143.86 and 514.16

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Solution

The fourth proportional to 829.05, 1,143.86 and 514.16 is: 709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.05 : 1,143.86 = 514.16 : x
  2. Step 2: Convert to fraction form
    829.05/1,143.86 = 514.16/x
  3. Step 3: Cross multiply
    829.05x = 1,143.86 × 514.16
  4. Step 4: Simplify right side
    829.05x = 588,126.41
  5. Step 5: Solve for x
    x = 588,126.41/829.05
  6. Step 6: Final answer
    x = 709.40

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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.