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Finding the Fourth Proportional to 822.57, 1,228.08 and 746.07

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Solution

The fourth proportional to 822.57, 1,228.08 and 746.07 is: 1,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.57 : 1,228.08 = 746.07 : x
  2. Step 2: Convert to fraction form
    822.57/1,228.08 = 746.07/x
  3. Step 3: Cross multiply
    822.57x = 1,228.08 × 746.07
  4. Step 4: Simplify right side
    822.57x = 916,233.65
  5. Step 5: Solve for x
    x = 916,233.65/822.57
  6. Step 6: Final answer
    x = 1,113.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.