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Finding the Fourth Proportional to 1,220.55, 1,831.01 and 398.63

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Solution

The fourth proportional to 1,220.55, 1,831.01 and 398.63 is: 598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.55 : 1,831.01 = 398.63 : x
  2. Step 2: Convert to fraction form
    1,220.55/1,831.01 = 398.63/x
  3. Step 3: Cross multiply
    1,220.55x = 1,831.01 × 398.63
  4. Step 4: Simplify right side
    1,220.55x = 729,884.37
  5. Step 5: Solve for x
    x = 729,884.37/1,220.55
  6. Step 6: Final answer
    x = 598.00

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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.