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Finding the Fourth Proportional to 688.78, 1,033.59 and 298.71

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Solution

The fourth proportional to 688.78, 1,033.59 and 298.71 is: 448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.78 : 1,033.59 = 298.71 : x
  2. Step 2: Convert to fraction form
    688.78/1,033.59 = 298.71/x
  3. Step 3: Cross multiply
    688.78x = 1,033.59 × 298.71
  4. Step 4: Simplify right side
    688.78x = 308,745.18
  5. Step 5: Solve for x
    x = 308,745.18/688.78
  6. Step 6: Final answer
    x = 448.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.