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Finding the Fourth Proportional to 773.29, 1,066.34 and 537.51

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Solution

The fourth proportional to 773.29, 1,066.34 and 537.51 is: 741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.29 : 1,066.34 = 537.51 : x
  2. Step 2: Convert to fraction form
    773.29/1,066.34 = 537.51/x
  3. Step 3: Cross multiply
    773.29x = 1,066.34 × 537.51
  4. Step 4: Simplify right side
    773.29x = 573,173.76
  5. Step 5: Solve for x
    x = 573,173.76/773.29
  6. Step 6: Final answer
    x = 741.21

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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.