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Finding the Fourth Proportional to 773.81, 1,068.76 and 524.69

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Solution

The fourth proportional to 773.81, 1,068.76 and 524.69 is: 724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.81 : 1,068.76 = 524.69 : x
  2. Step 2: Convert to fraction form
    773.81/1,068.76 = 524.69/x
  3. Step 3: Cross multiply
    773.81x = 1,068.76 × 524.69
  4. Step 4: Simplify right side
    773.81x = 560,767.68
  5. Step 5: Solve for x
    x = 560,767.68/773.81
  6. Step 6: Final answer
    x = 724.68

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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.