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Finding the Fourth Proportional to 1,220.64, 1,831.30 and 562.94

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Solution

The fourth proportional to 1,220.64, 1,831.30 and 562.94 is: 844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.64 : 1,831.30 = 562.94 : x
  2. Step 2: Convert to fraction form
    1,220.64/1,831.30 = 562.94/x
  3. Step 3: Cross multiply
    1,220.64x = 1,831.30 × 562.94
  4. Step 4: Simplify right side
    1,220.64x = 1,030,912.02
  5. Step 5: Solve for x
    x = 1,030,912.02/1,220.64
  6. Step 6: Final answer
    x = 844.57

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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.