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Finding the Fourth Proportional to 1,284.65, 1,772.96 and 787.35

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Solution

The fourth proportional to 1,284.65, 1,772.96 and 787.35 is: 1,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.65 : 1,772.96 = 787.35 : x
  2. Step 2: Convert to fraction form
    1,284.65/1,772.96 = 787.35/x
  3. Step 3: Cross multiply
    1,284.65x = 1,772.96 × 787.35
  4. Step 4: Simplify right side
    1,284.65x = 1,395,940.06
  5. Step 5: Solve for x
    x = 1,395,940.06/1,284.65
  6. Step 6: Final answer
    x = 1,086.63

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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.