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Finding the Fourth Proportional to 792.05, 1,187.53 and 244.08

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Solution

The fourth proportional to 792.05, 1,187.53 and 244.08 is: 365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.05 : 1,187.53 = 244.08 : x
  2. Step 2: Convert to fraction form
    792.05/1,187.53 = 244.08/x
  3. Step 3: Cross multiply
    792.05x = 1,187.53 × 244.08
  4. Step 4: Simplify right side
    792.05x = 289,851.71
  5. Step 5: Solve for x
    x = 289,851.71/792.05
  6. Step 6: Final answer
    x = 365.95

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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.