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Finding the Fourth Proportional to 689.23, 1,033.84 and 278.36

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Solution

The fourth proportional to 689.23, 1,033.84 and 278.36 is: 417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.23 : 1,033.84 = 278.36 : x
  2. Step 2: Convert to fraction form
    689.23/1,033.84 = 278.36/x
  3. Step 3: Cross multiply
    689.23x = 1,033.84 × 278.36
  4. Step 4: Simplify right side
    689.23x = 287,779.70
  5. Step 5: Solve for x
    x = 287,779.70/689.23
  6. Step 6: Final answer
    x = 417.54

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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.