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Finding the Fourth Proportional to 0.83, 1.24 and 0.78

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Solution

The fourth proportional to 0.83, 1.24 and 0.78 is: 1.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.83 : 1.24 = 0.78 : x
  2. Step 2: Convert to fraction form
    0.83/1.24 = 0.78/x
  3. Step 3: Cross multiply
    0.83x = 1.24 × 0.78
  4. Step 4: Simplify right side
    0.83x = 0.97
  5. Step 5: Solve for x
    x = 0.97/0.83
  6. Step 6: Final answer
    x = 1.17

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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.