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Finding the Fourth Proportional to 772.14, 1,065.78 and 524.28

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Solution

The fourth proportional to 772.14, 1,065.78 and 524.28 is: 723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.14 : 1,065.78 = 524.28 : x
  2. Step 2: Convert to fraction form
    772.14/1,065.78 = 524.28/x
  3. Step 3: Cross multiply
    772.14x = 1,065.78 × 524.28
  4. Step 4: Simplify right side
    772.14x = 558,767.14
  5. Step 5: Solve for x
    x = 558,767.14/772.14
  6. Step 6: Final answer
    x = 723.66

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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.