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Finding the Fourth Proportional to 773.56, 1,066.62 and 524.08

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Solution

The fourth proportional to 773.56, 1,066.62 and 524.08 is: 722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.56 : 1,066.62 = 524.08 : x
  2. Step 2: Convert to fraction form
    773.56/1,066.62 = 524.08/x
  3. Step 3: Cross multiply
    773.56x = 1,066.62 × 524.08
  4. Step 4: Simplify right side
    773.56x = 558,994.21
  5. Step 5: Solve for x
    x = 558,994.21/773.56
  6. Step 6: Final answer
    x = 722.63

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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.