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Finding the Fourth Proportional to 807.94, 1,114.86 and 458.65

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Solution

The fourth proportional to 807.94, 1,114.86 and 458.65 is: 632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.94 : 1,114.86 = 458.65 : x
  2. Step 2: Convert to fraction form
    807.94/1,114.86 = 458.65/x
  3. Step 3: Cross multiply
    807.94x = 1,114.86 × 458.65
  4. Step 4: Simplify right side
    807.94x = 511,330.54
  5. Step 5: Solve for x
    x = 511,330.54/807.94
  6. Step 6: Final answer
    x = 632.88

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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.