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Finding the Fourth Proportional to 1,110.33, 1,665.67 and 379.74

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Solution

The fourth proportional to 1,110.33, 1,665.67 and 379.74 is: 569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.33 : 1,665.67 = 379.74 : x
  2. Step 2: Convert to fraction form
    1,110.33/1,665.67 = 379.74/x
  3. Step 3: Cross multiply
    1,110.33x = 1,665.67 × 379.74
  4. Step 4: Simplify right side
    1,110.33x = 632,521.53
  5. Step 5: Solve for x
    x = 632,521.53/1,110.33
  6. Step 6: Final answer
    x = 569.67

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