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Finding the Fourth Proportional to 694.50, 1,041.79 and 278.18

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Solution

The fourth proportional to 694.50, 1,041.79 and 278.18 is: 417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.50 : 1,041.79 = 278.18 : x
  2. Step 2: Convert to fraction form
    694.50/1,041.79 = 278.18/x
  3. Step 3: Cross multiply
    694.50x = 1,041.79 × 278.18
  4. Step 4: Simplify right side
    694.50x = 289,805.14
  5. Step 5: Solve for x
    x = 289,805.14/694.50
  6. Step 6: Final answer
    x = 417.29

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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.