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Finding the Fourth Proportional to 688.74, 1,033.47 and 278.18

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Solution

The fourth proportional to 688.74, 1,033.47 and 278.18 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.74 : 1,033.47 = 278.18 : x
  2. Step 2: Convert to fraction form
    688.74/1,033.47 = 278.18/x
  3. Step 3: Cross multiply
    688.74x = 1,033.47 × 278.18
  4. Step 4: Simplify right side
    688.74x = 287,490.68
  5. Step 5: Solve for x
    x = 287,490.68/688.74
  6. Step 6: Final answer
    x = 417.42

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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.