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Finding the Fourth Proportional to 832.01, 1,148.25 and 459.03

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Solution

The fourth proportional to 832.01, 1,148.25 and 459.03 is: 633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.01 : 1,148.25 = 459.03 : x
  2. Step 2: Convert to fraction form
    832.01/1,148.25 = 459.03/x
  3. Step 3: Cross multiply
    832.01x = 1,148.25 × 459.03
  4. Step 4: Simplify right side
    832.01x = 527,073.16
  5. Step 5: Solve for x
    x = 527,073.16/832.01
  6. Step 6: Final answer
    x = 633.49

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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.