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Finding the Fourth Proportional to 829.82, 1,244.30 and 570.14

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Solution

The fourth proportional to 829.82, 1,244.30 and 570.14 is: 854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.82 : 1,244.30 = 570.14 : x
  2. Step 2: Convert to fraction form
    829.82/1,244.30 = 570.14/x
  3. Step 3: Cross multiply
    829.82x = 1,244.30 × 570.14
  4. Step 4: Simplify right side
    829.82x = 709,425.20
  5. Step 5: Solve for x
    x = 709,425.20/829.82
  6. Step 6: Final answer
    x = 854.91

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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.