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Finding the Fourth Proportional to 1,111.93, 1,667.88 and 290.27

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Solution

The fourth proportional to 1,111.93, 1,667.88 and 290.27 is: 435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.93 : 1,667.88 = 290.27 : x
  2. Step 2: Convert to fraction form
    1,111.93/1,667.88 = 290.27/x
  3. Step 3: Cross multiply
    1,111.93x = 1,667.88 × 290.27
  4. Step 4: Simplify right side
    1,111.93x = 484,139.70
  5. Step 5: Solve for x
    x = 484,139.70/1,111.93
  6. Step 6: Final answer
    x = 435.41

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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.