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Finding the Fourth Proportional to 678.54, 1,017.78 and 472.50

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Solution

The fourth proportional to 678.54, 1,017.78 and 472.50 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 1,017.78 = 472.50 : x
  2. Step 2: Convert to fraction form
    678.54/1,017.78 = 472.50/x
  3. Step 3: Cross multiply
    678.54x = 1,017.78 × 472.50
  4. Step 4: Simplify right side
    678.54x = 480,901.05
  5. Step 5: Solve for x
    x = 480,901.05/678.54
  6. Step 6: Final answer
    x = 708.73

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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.