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Finding the Fourth Proportional to 884.36, 1,320.07 and 820.11

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Solution

The fourth proportional to 884.36, 1,320.07 and 820.11 is: 1,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.36 : 1,320.07 = 820.11 : x
  2. Step 2: Convert to fraction form
    884.36/1,320.07 = 820.11/x
  3. Step 3: Cross multiply
    884.36x = 1,320.07 × 820.11
  4. Step 4: Simplify right side
    884.36x = 1,082,598.51
  5. Step 5: Solve for x
    x = 1,082,598.51/884.36
  6. Step 6: Final answer
    x = 1,224.17

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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.