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Finding the Fourth Proportional to 1,102.34, 1,521.32 and 605.08

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Solution

The fourth proportional to 1,102.34, 1,521.32 and 605.08 is: 835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.34 : 1,521.32 = 605.08 : x
  2. Step 2: Convert to fraction form
    1,102.34/1,521.32 = 605.08/x
  3. Step 3: Cross multiply
    1,102.34x = 1,521.32 × 605.08
  4. Step 4: Simplify right side
    1,102.34x = 920,520.01
  5. Step 5: Solve for x
    x = 920,520.01/1,102.34
  6. Step 6: Final answer
    x = 835.06

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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.