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Finding the Fourth Proportional to 832.31, 1,148.57 and 459.27

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Solution

The fourth proportional to 832.31, 1,148.57 and 459.27 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.31 : 1,148.57 = 459.27 : x
  2. Step 2: Convert to fraction form
    832.31/1,148.57 = 459.27/x
  3. Step 3: Cross multiply
    832.31x = 1,148.57 × 459.27
  4. Step 4: Simplify right side
    832.31x = 527,501.45
  5. Step 5: Solve for x
    x = 527,501.45/832.31
  6. Step 6: Final answer
    x = 633.78

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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.