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Finding the Fourth Proportional to 1,222.23, 1,831.98 and 527.86

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Solution

The fourth proportional to 1,222.23, 1,831.98 and 527.86 is: 791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.23 : 1,831.98 = 527.86 : x
  2. Step 2: Convert to fraction form
    1,222.23/1,831.98 = 527.86/x
  3. Step 3: Cross multiply
    1,222.23x = 1,831.98 × 527.86
  4. Step 4: Simplify right side
    1,222.23x = 967,031.39
  5. Step 5: Solve for x
    x = 967,031.39/1,222.23
  6. Step 6: Final answer
    x = 791.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.