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Finding the Fourth Proportional to 773.32, 1,066.44 and 524.92

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Solution

The fourth proportional to 773.32, 1,066.44 and 524.92 is: 723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.32 : 1,066.44 = 524.92 : x
  2. Step 2: Convert to fraction form
    773.32/1,066.44 = 524.92/x
  3. Step 3: Cross multiply
    773.32x = 1,066.44 × 524.92
  4. Step 4: Simplify right side
    773.32x = 559,795.68
  5. Step 5: Solve for x
    x = 559,795.68/773.32
  6. Step 6: Final answer
    x = 723.89

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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.