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Finding the Fourth Proportional to 1,110.19, 1,665.49 and 460.98

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Solution

The fourth proportional to 1,110.19, 1,665.49 and 460.98 is: 691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.19 : 1,665.49 = 460.98 : x
  2. Step 2: Convert to fraction form
    1,110.19/1,665.49 = 460.98/x
  3. Step 3: Cross multiply
    1,110.19x = 1,665.49 × 460.98
  4. Step 4: Simplify right side
    1,110.19x = 767,757.58
  5. Step 5: Solve for x
    x = 767,757.58/1,110.19
  6. Step 6: Final answer
    x = 691.56

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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.