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Finding the Fourth Proportional to 773.04, 1,065.74 and 523.98

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Solution

The fourth proportional to 773.04, 1,065.74 and 523.98 is: 722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.04 : 1,065.74 = 523.98 : x
  2. Step 2: Convert to fraction form
    773.04/1,065.74 = 523.98/x
  3. Step 3: Cross multiply
    773.04x = 1,065.74 × 523.98
  4. Step 4: Simplify right side
    773.04x = 558,426.45
  5. Step 5: Solve for x
    x = 558,426.45/773.04
  6. Step 6: Final answer
    x = 722.38

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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.