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Finding the Fourth Proportional to 1,223, 1,831.70 and 735.48

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Solution

The fourth proportional to 1,223, 1,831.70 and 735.48 is: 1,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223 : 1,831.70 = 735.48 : x
  2. Step 2: Convert to fraction form
    1,223/1,831.70 = 735.48/x
  3. Step 3: Cross multiply
    1,223x = 1,831.70 × 735.48
  4. Step 4: Simplify right side
    1,223x = 1,347,178.72
  5. Step 5: Solve for x
    x = 1,347,178.72/1,223
  6. Step 6: Final answer
    x = 1,101.54

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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.