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Finding the Fourth Proportional to 901.06, 1,349.79 and 824.92

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Solution

The fourth proportional to 901.06, 1,349.79 and 824.92 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.06 : 1,349.79 = 824.92 : x
  2. Step 2: Convert to fraction form
    901.06/1,349.79 = 824.92/x
  3. Step 3: Cross multiply
    901.06x = 1,349.79 × 824.92
  4. Step 4: Simplify right side
    901.06x = 1,113,468.77
  5. Step 5: Solve for x
    x = 1,113,468.77/901.06
  6. Step 6: Final answer
    x = 1,235.73

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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.