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Finding the Fourth Proportional to 901.79, 1,346.16 and 792.44

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Solution

The fourth proportional to 901.79, 1,346.16 and 792.44 is: 1,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.79 : 1,346.16 = 792.44 : x
  2. Step 2: Convert to fraction form
    901.79/1,346.16 = 792.44/x
  3. Step 3: Cross multiply
    901.79x = 1,346.16 × 792.44
  4. Step 4: Simplify right side
    901.79x = 1,066,751.03
  5. Step 5: Solve for x
    x = 1,066,751.03/901.79
  6. Step 6: Final answer
    x = 1,182.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.