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Finding the Fourth Proportional to 1,294.65, 1,787.27 and 823.02

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Solution

The fourth proportional to 1,294.65, 1,787.27 and 823.02 is: 1,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.65 : 1,787.27 = 823.02 : x
  2. Step 2: Convert to fraction form
    1,294.65/1,787.27 = 823.02/x
  3. Step 3: Cross multiply
    1,294.65x = 1,787.27 × 823.02
  4. Step 4: Simplify right side
    1,294.65x = 1,470,954.84
  5. Step 5: Solve for x
    x = 1,470,954.84/1,294.65
  6. Step 6: Final answer
    x = 1,136.18

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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.