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Finding the Fourth Proportional to 1,223.15, 1,835.24 and 761.32

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Solution

The fourth proportional to 1,223.15, 1,835.24 and 761.32 is: 1,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.15 : 1,835.24 = 761.32 : x
  2. Step 2: Convert to fraction form
    1,223.15/1,835.24 = 761.32/x
  3. Step 3: Cross multiply
    1,223.15x = 1,835.24 × 761.32
  4. Step 4: Simplify right side
    1,223.15x = 1,397,197.36
  5. Step 5: Solve for x
    x = 1,397,197.36/1,223.15
  6. Step 6: Final answer
    x = 1,142.29

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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.