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Finding the Fourth Proportional to 1,110.07, 1,664.74 and 379.75

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Solution

The fourth proportional to 1,110.07, 1,664.74 and 379.75 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.07 : 1,664.74 = 379.75 : x
  2. Step 2: Convert to fraction form
    1,110.07/1,664.74 = 379.75/x
  3. Step 3: Cross multiply
    1,110.07x = 1,664.74 × 379.75
  4. Step 4: Simplify right side
    1,110.07x = 632,181.33
  5. Step 5: Solve for x
    x = 632,181.33/1,110.07
  6. Step 6: Final answer
    x = 569.50

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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.