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Finding the Fourth Proportional to 1,221.23, 1,831.03 and 735.23

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Solution

The fourth proportional to 1,221.23, 1,831.03 and 735.23 is: 1,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.23 : 1,831.03 = 735.23 : x
  2. Step 2: Convert to fraction form
    1,221.23/1,831.03 = 735.23/x
  3. Step 3: Cross multiply
    1,221.23x = 1,831.03 × 735.23
  4. Step 4: Simplify right side
    1,221.23x = 1,346,228.19
  5. Step 5: Solve for x
    x = 1,346,228.19/1,221.23
  6. Step 6: Final answer
    x = 1,102.35

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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.