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Finding the Fourth Proportional to 711.86, 1,065.62 and 467.78

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Solution

The fourth proportional to 711.86, 1,065.62 and 467.78 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 1,065.62 = 467.78 : x
  2. Step 2: Convert to fraction form
    711.86/1,065.62 = 467.78/x
  3. Step 3: Cross multiply
    711.86x = 1,065.62 × 467.78
  4. Step 4: Simplify right side
    711.86x = 498,471.56
  5. Step 5: Solve for x
    x = 498,471.56/711.86
  6. Step 6: Final answer
    x = 700.24

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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.