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Finding the Fourth Proportional to 832.03, 1,148.16 and 458.94

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Solution

The fourth proportional to 832.03, 1,148.16 and 458.94 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.03 : 1,148.16 = 458.94 : x
  2. Step 2: Convert to fraction form
    832.03/1,148.16 = 458.94/x
  3. Step 3: Cross multiply
    832.03x = 1,148.16 × 458.94
  4. Step 4: Simplify right side
    832.03x = 526,936.55
  5. Step 5: Solve for x
    x = 526,936.55/832.03
  6. Step 6: Final answer
    x = 633.31

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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.