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Finding the Fourth Proportional to 1,102.83, 1,522.16 and 729.82

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Solution

The fourth proportional to 1,102.83, 1,522.16 and 729.82 is: 1,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.83 : 1,522.16 = 729.82 : x
  2. Step 2: Convert to fraction form
    1,102.83/1,522.16 = 729.82/x
  3. Step 3: Cross multiply
    1,102.83x = 1,522.16 × 729.82
  4. Step 4: Simplify right side
    1,102.83x = 1,110,902.81
  5. Step 5: Solve for x
    x = 1,110,902.81/1,102.83
  6. Step 6: Final answer
    x = 1,007.32

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Why These Related Problems?

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