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Finding the Fourth Proportional to 1,110.08, 1,665.84 and 494.16

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Solution

The fourth proportional to 1,110.08, 1,665.84 and 494.16 is: 741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.08 : 1,665.84 = 494.16 : x
  2. Step 2: Convert to fraction form
    1,110.08/1,665.84 = 494.16/x
  3. Step 3: Cross multiply
    1,110.08x = 1,665.84 × 494.16
  4. Step 4: Simplify right side
    1,110.08x = 823,191.49
  5. Step 5: Solve for x
    x = 823,191.49/1,110.08
  6. Step 6: Final answer
    x = 741.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.