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Finding the Fourth Proportional to 832.34, 1,148.57 and 459.24

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Solution

The fourth proportional to 832.34, 1,148.57 and 459.24 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.34 : 1,148.57 = 459.24 : x
  2. Step 2: Convert to fraction form
    832.34/1,148.57 = 459.24/x
  3. Step 3: Cross multiply
    832.34x = 1,148.57 × 459.24
  4. Step 4: Simplify right side
    832.34x = 527,463.76
  5. Step 5: Solve for x
    x = 527,463.76/832.34
  6. Step 6: Final answer
    x = 633.71

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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.