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Finding the Fourth Proportional to 1,111.43, 1,667.31 and 380.81

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Solution

The fourth proportional to 1,111.43, 1,667.31 and 380.81 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.43 : 1,667.31 = 380.81 : x
  2. Step 2: Convert to fraction form
    1,111.43/1,667.31 = 380.81/x
  3. Step 3: Cross multiply
    1,111.43x = 1,667.31 × 380.81
  4. Step 4: Simplify right side
    1,111.43x = 634,931.06
  5. Step 5: Solve for x
    x = 634,931.06/1,111.43
  6. Step 6: Final answer
    x = 571.27

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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.