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Finding the Fourth Proportional to 921.36, 1,382.04 and 401.34

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Solution

The fourth proportional to 921.36, 1,382.04 and 401.34 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.36 : 1,382.04 = 401.34 : x
  2. Step 2: Convert to fraction form
    921.36/1,382.04 = 401.34/x
  3. Step 3: Cross multiply
    921.36x = 1,382.04 × 401.34
  4. Step 4: Simplify right side
    921.36x = 554,667.93
  5. Step 5: Solve for x
    x = 554,667.93/921.36
  6. Step 6: Final answer
    x = 602.01

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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.