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Finding the Fourth Proportional to 1,111.78, 1,667.58 and 495.46

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Solution

The fourth proportional to 1,111.78, 1,667.58 and 495.46 is: 743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.78 : 1,667.58 = 495.46 : x
  2. Step 2: Convert to fraction form
    1,111.78/1,667.58 = 495.46/x
  3. Step 3: Cross multiply
    1,111.78x = 1,667.58 × 495.46
  4. Step 4: Simplify right side
    1,111.78x = 826,219.19
  5. Step 5: Solve for x
    x = 826,219.19/1,111.78
  6. Step 6: Final answer
    x = 743.15

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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.