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Finding the Fourth Proportional to 772.92, 1,066.78 and 458.06

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Solution

The fourth proportional to 772.92, 1,066.78 and 458.06 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,066.78 = 458.06 : x
  2. Step 2: Convert to fraction form
    772.92/1,066.78 = 458.06/x
  3. Step 3: Cross multiply
    772.92x = 1,066.78 × 458.06
  4. Step 4: Simplify right side
    772.92x = 488,649.25
  5. Step 5: Solve for x
    x = 488,649.25/772.92
  6. Step 6: Final answer
    x = 632.21

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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.