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Finding the Fourth Proportional to 1,111.71, 1,667.57 and 381.34

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Solution

The fourth proportional to 1,111.71, 1,667.57 and 381.34 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.71 : 1,667.57 = 381.34 : x
  2. Step 2: Convert to fraction form
    1,111.71/1,667.57 = 381.34/x
  3. Step 3: Cross multiply
    1,111.71x = 1,667.57 × 381.34
  4. Step 4: Simplify right side
    1,111.71x = 635,911.32
  5. Step 5: Solve for x
    x = 635,911.32/1,111.71
  6. Step 6: Final answer
    x = 572.01

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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.