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Finding the Fourth Proportional to 1,110.78, 1,666.08 and 494.46

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Solution

The fourth proportional to 1,110.78, 1,666.08 and 494.46 is: 741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.78 : 1,666.08 = 494.46 : x
  2. Step 2: Convert to fraction form
    1,110.78/1,666.08 = 494.46/x
  3. Step 3: Cross multiply
    1,110.78x = 1,666.08 × 494.46
  4. Step 4: Simplify right side
    1,110.78x = 823,809.92
  5. Step 5: Solve for x
    x = 823,809.92/1,110.78
  6. Step 6: Final answer
    x = 741.65

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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.