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Finding the Fourth Proportional to 773.26, 1,066.56 and 524.47

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Solution

The fourth proportional to 773.26, 1,066.56 and 524.47 is: 723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.26 : 1,066.56 = 524.47 : x
  2. Step 2: Convert to fraction form
    773.26/1,066.56 = 524.47/x
  3. Step 3: Cross multiply
    773.26x = 1,066.56 × 524.47
  4. Step 4: Simplify right side
    773.26x = 559,378.72
  5. Step 5: Solve for x
    x = 559,378.72/773.26
  6. Step 6: Final answer
    x = 723.40

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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.