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Finding the Fourth Proportional to 1,223.80, 1,832.54 and 811.64

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Solution

The fourth proportional to 1,223.80, 1,832.54 and 811.64 is: 1,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.80 : 1,832.54 = 811.64 : x
  2. Step 2: Convert to fraction form
    1,223.80/1,832.54 = 811.64/x
  3. Step 3: Cross multiply
    1,223.80x = 1,832.54 × 811.64
  4. Step 4: Simplify right side
    1,223.80x = 1,487,362.77
  5. Step 5: Solve for x
    x = 1,487,362.77/1,223.80
  6. Step 6: Final answer
    x = 1,215.36

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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.