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Finding the Fourth Proportional to 822.65, 1,232.60 and 578.74

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Solution

The fourth proportional to 822.65, 1,232.60 and 578.74 is: 867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.65 : 1,232.60 = 578.74 : x
  2. Step 2: Convert to fraction form
    822.65/1,232.60 = 578.74/x
  3. Step 3: Cross multiply
    822.65x = 1,232.60 × 578.74
  4. Step 4: Simplify right side
    822.65x = 713,354.92
  5. Step 5: Solve for x
    x = 713,354.92/822.65
  6. Step 6: Final answer
    x = 867.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.