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Finding the Fourth Proportional to 1,111.73, 1,667.80 and 462.52

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Solution

The fourth proportional to 1,111.73, 1,667.80 and 462.52 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.73 : 1,667.80 = 462.52 : x
  2. Step 2: Convert to fraction form
    1,111.73/1,667.80 = 462.52/x
  3. Step 3: Cross multiply
    1,111.73x = 1,667.80 × 462.52
  4. Step 4: Simplify right side
    1,111.73x = 771,390.86
  5. Step 5: Solve for x
    x = 771,390.86/1,111.73
  6. Step 6: Final answer
    x = 693.87

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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.