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Finding the Fourth Proportional to 826.14, 1,239.28 and 278.15

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Solution

The fourth proportional to 826.14, 1,239.28 and 278.15 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,239.28 = 278.15 : x
  2. Step 2: Convert to fraction form
    826.14/1,239.28 = 278.15/x
  3. Step 3: Cross multiply
    826.14x = 1,239.28 × 278.15
  4. Step 4: Simplify right side
    826.14x = 344,698.84
  5. Step 5: Solve for x
    x = 344,698.84/826.14
  6. Step 6: Final answer
    x = 417.24

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Double scale
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1.5x scale

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.