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Finding the Fourth Proportional to 1,103.14, 1,522.29 and 661.24

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Solution

The fourth proportional to 1,103.14, 1,522.29 and 661.24 is: 912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.14 : 1,522.29 = 661.24 : x
  2. Step 2: Convert to fraction form
    1,103.14/1,522.29 = 661.24/x
  3. Step 3: Cross multiply
    1,103.14x = 1,522.29 × 661.24
  4. Step 4: Simplify right side
    1,103.14x = 1,006,599.04
  5. Step 5: Solve for x
    x = 1,006,599.04/1,103.14
  6. Step 6: Final answer
    x = 912.49

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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.