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Finding the Fourth Proportional to 678.87, 1,017.78 and 288.54

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Solution

The fourth proportional to 678.87, 1,017.78 and 288.54 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.87 : 1,017.78 = 288.54 : x
  2. Step 2: Convert to fraction form
    678.87/1,017.78 = 288.54/x
  3. Step 3: Cross multiply
    678.87x = 1,017.78 × 288.54
  4. Step 4: Simplify right side
    678.87x = 293,670.24
  5. Step 5: Solve for x
    x = 293,670.24/678.87
  6. Step 6: Final answer
    x = 432.59

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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.