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Finding the Fourth Proportional to 832.11, 1,148.34 and 478.09

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Solution

The fourth proportional to 832.11, 1,148.34 and 478.09 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.11 : 1,148.34 = 478.09 : x
  2. Step 2: Convert to fraction form
    832.11/1,148.34 = 478.09/x
  3. Step 3: Cross multiply
    832.11x = 1,148.34 × 478.09
  4. Step 4: Simplify right side
    832.11x = 549,009.87
  5. Step 5: Solve for x
    x = 549,009.87/832.11
  6. Step 6: Final answer
    x = 659.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.