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Finding the Fourth Proportional to 688.98, 1,032.84 and 278.04

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Solution

The fourth proportional to 688.98, 1,032.84 and 278.04 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.98 : 1,032.84 = 278.04 : x
  2. Step 2: Convert to fraction form
    688.98/1,032.84 = 278.04/x
  3. Step 3: Cross multiply
    688.98x = 1,032.84 × 278.04
  4. Step 4: Simplify right side
    688.98x = 287,170.83
  5. Step 5: Solve for x
    x = 287,170.83/688.98
  6. Step 6: Final answer
    x = 416.81

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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.