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Finding the Fourth Proportional to 1,220.82, 1,831.04 and 354.93

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Solution

The fourth proportional to 1,220.82, 1,831.04 and 354.93 is: 532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.82 : 1,831.04 = 354.93 : x
  2. Step 2: Convert to fraction form
    1,220.82/1,831.04 = 354.93/x
  3. Step 3: Cross multiply
    1,220.82x = 1,831.04 × 354.93
  4. Step 4: Simplify right side
    1,220.82x = 649,889.25
  5. Step 5: Solve for x
    x = 649,889.25/1,220.82
  6. Step 6: Final answer
    x = 532.34

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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.