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Finding the Fourth Proportional to 1,111.84, 1,667.20 and 418.48

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Solution

The fourth proportional to 1,111.84, 1,667.20 and 418.48 is: 627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.84 : 1,667.20 = 418.48 : x
  2. Step 2: Convert to fraction form
    1,111.84/1,667.20 = 418.48/x
  3. Step 3: Cross multiply
    1,111.84x = 1,667.20 × 418.48
  4. Step 4: Simplify right side
    1,111.84x = 697,689.86
  5. Step 5: Solve for x
    x = 697,689.86/1,111.84
  6. Step 6: Final answer
    x = 627.51

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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.