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Finding the Fourth Proportional to 689.24, 1,033.70 and 278.20

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Solution

The fourth proportional to 689.24, 1,033.70 and 278.20 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.24 : 1,033.70 = 278.20 : x
  2. Step 2: Convert to fraction form
    689.24/1,033.70 = 278.20/x
  3. Step 3: Cross multiply
    689.24x = 1,033.70 × 278.20
  4. Step 4: Simplify right side
    689.24x = 287,575.34
  5. Step 5: Solve for x
    x = 287,575.34/689.24
  6. Step 6: Final answer
    x = 417.24

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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.