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Finding the Fourth Proportional to 914.78, 1,364.36 and 832.16

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Solution

The fourth proportional to 914.78, 1,364.36 and 832.16 is: 1,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.78 : 1,364.36 = 832.16 : x
  2. Step 2: Convert to fraction form
    914.78/1,364.36 = 832.16/x
  3. Step 3: Cross multiply
    914.78x = 1,364.36 × 832.16
  4. Step 4: Simplify right side
    914.78x = 1,135,365.82
  5. Step 5: Solve for x
    x = 1,135,365.82/914.78
  6. Step 6: Final answer
    x = 1,241.14

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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.