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Finding the Fourth Proportional to 787.92, 1,086.83 and 567.16

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Solution

The fourth proportional to 787.92, 1,086.83 and 567.16 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,086.83 = 567.16 : x
  2. Step 2: Convert to fraction form
    787.92/1,086.83 = 567.16/x
  3. Step 3: Cross multiply
    787.92x = 1,086.83 × 567.16
  4. Step 4: Simplify right side
    787.92x = 616,406.27
  5. Step 5: Solve for x
    x = 616,406.27/787.92
  6. Step 6: Final answer
    x = 782.32

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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.