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Finding the Fourth Proportional to 711.65, 1,066.09 and 467.43

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Solution

The fourth proportional to 711.65, 1,066.09 and 467.43 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.65 : 1,066.09 = 467.43 : x
  2. Step 2: Convert to fraction form
    711.65/1,066.09 = 467.43/x
  3. Step 3: Cross multiply
    711.65x = 1,066.09 × 467.43
  4. Step 4: Simplify right side
    711.65x = 498,322.45
  5. Step 5: Solve for x
    x = 498,322.45/711.65
  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.