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Finding the Fourth Proportional to 1,112.33, 1,667.51 and 462.65

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Solution

The fourth proportional to 1,112.33, 1,667.51 and 462.65 is: 693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.33 : 1,667.51 = 462.65 : x
  2. Step 2: Convert to fraction form
    1,112.33/1,667.51 = 462.65/x
  3. Step 3: Cross multiply
    1,112.33x = 1,667.51 × 462.65
  4. Step 4: Simplify right side
    1,112.33x = 771,471.19
  5. Step 5: Solve for x
    x = 771,471.19/1,112.33
  6. Step 6: Final answer
    x = 693.56

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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.