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Finding the Fourth Proportional to 922.38, 1,382.76 and 792.51

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Solution

The fourth proportional to 922.38, 1,382.76 and 792.51 is: 1,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.38 : 1,382.76 = 792.51 : x
  2. Step 2: Convert to fraction form
    922.38/1,382.76 = 792.51/x
  3. Step 3: Cross multiply
    922.38x = 1,382.76 × 792.51
  4. Step 4: Simplify right side
    922.38x = 1,095,851.13
  5. Step 5: Solve for x
    x = 1,095,851.13/922.38
  6. Step 6: Final answer
    x = 1,188.07

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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.