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Finding the Fourth Proportional to 832.00, 1,148.14 and 458.97

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Solution

The fourth proportional to 832.00, 1,148.14 and 458.97 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.00 : 1,148.14 = 458.97 : x
  2. Step 2: Convert to fraction form
    832.00/1,148.14 = 458.97/x
  3. Step 3: Cross multiply
    832.00x = 1,148.14 × 458.97
  4. Step 4: Simplify right side
    832.00x = 526,953.78
  5. Step 5: Solve for x
    x = 526,953.78/832.00
  6. Step 6: Final answer
    x = 633.36

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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.