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Finding the Fourth Proportional to 1,220.86, 1,831.29 and 355.78

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Solution

The fourth proportional to 1,220.86, 1,831.29 and 355.78 is: 533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.86 : 1,831.29 = 355.78 : x
  2. Step 2: Convert to fraction form
    1,220.86/1,831.29 = 355.78/x
  3. Step 3: Cross multiply
    1,220.86x = 1,831.29 × 355.78
  4. Step 4: Simplify right side
    1,220.86x = 651,536.36
  5. Step 5: Solve for x
    x = 651,536.36/1,220.86
  6. Step 6: Final answer
    x = 533.67

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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.