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Finding the Fourth Proportional to 765.25, 1,144.37 and 570.38

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Solution

The fourth proportional to 765.25, 1,144.37 and 570.38 is: 852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.25 : 1,144.37 = 570.38 : x
  2. Step 2: Convert to fraction form
    765.25/1,144.37 = 570.38/x
  3. Step 3: Cross multiply
    765.25x = 1,144.37 × 570.38
  4. Step 4: Simplify right side
    765.25x = 652,728.62
  5. Step 5: Solve for x
    x = 652,728.62/765.25
  6. Step 6: Final answer
    x = 852.96

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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.