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Finding the Fourth Proportional to 773.05, 1,066.01 and 537.26

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Solution

The fourth proportional to 773.05, 1,066.01 and 537.26 is: 740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.05 : 1,066.01 = 537.26 : x
  2. Step 2: Convert to fraction form
    773.05/1,066.01 = 537.26/x
  3. Step 3: Cross multiply
    773.05x = 1,066.01 × 537.26
  4. Step 4: Simplify right side
    773.05x = 572,721.85
  5. Step 5: Solve for x
    x = 572,721.85/773.05
  6. Step 6: Final answer
    x = 740.86

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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.