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Finding the Fourth Proportional to 832.08, 1,148.20 and 459.01

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Solution

The fourth proportional to 832.08, 1,148.20 and 459.01 is: 633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.08 : 1,148.20 = 459.01 : x
  2. Step 2: Convert to fraction form
    832.08/1,148.20 = 459.01/x
  3. Step 3: Cross multiply
    832.08x = 1,148.20 × 459.01
  4. Step 4: Simplify right side
    832.08x = 527,035.28
  5. Step 5: Solve for x
    x = 527,035.28/832.08
  6. Step 6: Final answer
    x = 633.39

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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.