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Finding the Fourth Proportional to 1,102.36, 1,522.15 and 853.24

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Solution

The fourth proportional to 1,102.36, 1,522.15 and 853.24 is: 1,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.36 : 1,522.15 = 853.24 : x
  2. Step 2: Convert to fraction form
    1,102.36/1,522.15 = 853.24/x
  3. Step 3: Cross multiply
    1,102.36x = 1,522.15 × 853.24
  4. Step 4: Simplify right side
    1,102.36x = 1,298,759.27
  5. Step 5: Solve for x
    x = 1,298,759.27/1,102.36
  6. Step 6: Final answer
    x = 1,178.16

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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.