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Finding the Fourth Proportional to 1,122.24, 1,550.08 and 792.14

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Solution

The fourth proportional to 1,122.24, 1,550.08 and 792.14 is: 1,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.24 : 1,550.08 = 792.14 : x
  2. Step 2: Convert to fraction form
    1,122.24/1,550.08 = 792.14/x
  3. Step 3: Cross multiply
    1,122.24x = 1,550.08 × 792.14
  4. Step 4: Simplify right side
    1,122.24x = 1,227,880.84
  5. Step 5: Solve for x
    x = 1,227,880.84/1,122.24
  6. Step 6: Final answer
    x = 1,094.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.