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Finding the Fourth Proportional to 1,102.49, 1,522.04 and 848.37

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Solution

The fourth proportional to 1,102.49, 1,522.04 and 848.37 is: 1,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.49 : 1,522.04 = 848.37 : x
  2. Step 2: Convert to fraction form
    1,102.49/1,522.04 = 848.37/x
  3. Step 3: Cross multiply
    1,102.49x = 1,522.04 × 848.37
  4. Step 4: Simplify right side
    1,102.49x = 1,291,253.07
  5. Step 5: Solve for x
    x = 1,291,253.07/1,102.49
  6. Step 6: Final answer
    x = 1,171.22

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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.