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Finding the Fourth Proportional to 808, 1,114.98 and 458.68

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Solution

The fourth proportional to 808, 1,114.98 and 458.68 is: 632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,114.98 = 458.68 : x
  2. Step 2: Convert to fraction form
    808/1,114.98 = 458.68/x
  3. Step 3: Cross multiply
    808x = 1,114.98 × 458.68
  4. Step 4: Simplify right side
    808x = 511,419.03
  5. Step 5: Solve for x
    x = 511,419.03/808
  6. Step 6: Final answer
    x = 632.94

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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.