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Finding the Fourth Proportional to 787.25, 1,084.59 and 565.82

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Solution

The fourth proportional to 787.25, 1,084.59 and 565.82 is: 779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.25 : 1,084.59 = 565.82 : x
  2. Step 2: Convert to fraction form
    787.25/1,084.59 = 565.82/x
  3. Step 3: Cross multiply
    787.25x = 1,084.59 × 565.82
  4. Step 4: Simplify right side
    787.25x = 613,681.36
  5. Step 5: Solve for x
    x = 613,681.36/787.25
  6. Step 6: Final answer
    x = 779.52

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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.