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Finding the Fourth Proportional to 773.24, 1,066.64 and 537.33

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Solution

The fourth proportional to 773.24, 1,066.64 and 537.33 is: 741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.24 : 1,066.64 = 537.33 : x
  2. Step 2: Convert to fraction form
    773.24/1,066.64 = 537.33/x
  3. Step 3: Cross multiply
    773.24x = 1,066.64 × 537.33
  4. Step 4: Simplify right side
    773.24x = 573,139.01
  5. Step 5: Solve for x
    x = 573,139.01/773.24
  6. Step 6: Final answer
    x = 741.22

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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.