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Finding the Fourth Proportional to 1,110.70, 1,665.78 and 460.81

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Solution

The fourth proportional to 1,110.70, 1,665.78 and 460.81 is: 691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.70 : 1,665.78 = 460.81 : x
  2. Step 2: Convert to fraction form
    1,110.70/1,665.78 = 460.81/x
  3. Step 3: Cross multiply
    1,110.70x = 1,665.78 × 460.81
  4. Step 4: Simplify right side
    1,110.70x = 767,608.08
  5. Step 5: Solve for x
    x = 767,608.08/1,110.70
  6. Step 6: Final answer
    x = 691.10

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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.