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Finding the Fourth Proportional to 808.02, 1,114.97 and 458.71

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Solution

The fourth proportional to 808.02, 1,114.97 and 458.71 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.02 : 1,114.97 = 458.71 : x
  2. Step 2: Convert to fraction form
    808.02/1,114.97 = 458.71/x
  3. Step 3: Cross multiply
    808.02x = 1,114.97 × 458.71
  4. Step 4: Simplify right side
    808.02x = 511,442.81
  5. Step 5: Solve for x
    x = 511,442.81/808.02
  6. Step 6: Final answer
    x = 632.96

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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.