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Finding the Fourth Proportional to 781.84, 1,078.83 and 664.29

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Solution

The fourth proportional to 781.84, 1,078.83 and 664.29 is: 916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,078.83 = 664.29 : x
  2. Step 2: Convert to fraction form
    781.84/1,078.83 = 664.29/x
  3. Step 3: Cross multiply
    781.84x = 1,078.83 × 664.29
  4. Step 4: Simplify right side
    781.84x = 716,655.98
  5. Step 5: Solve for x
    x = 716,655.98/781.84
  6. Step 6: Final answer
    x = 916.63

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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.