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Finding the Fourth Proportional to 688.98, 1,033.82 and 278.40

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Solution

The fourth proportional to 688.98, 1,033.82 and 278.40 is: 417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.98 : 1,033.82 = 278.40 : x
  2. Step 2: Convert to fraction form
    688.98/1,033.82 = 278.40/x
  3. Step 3: Cross multiply
    688.98x = 1,033.82 × 278.40
  4. Step 4: Simplify right side
    688.98x = 287,815.49
  5. Step 5: Solve for x
    x = 287,815.49/688.98
  6. Step 6: Final answer
    x = 417.74

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