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Finding the Fourth Proportional to 1,220.75, 1,831.17 and 355.06

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Solution

The fourth proportional to 1,220.75, 1,831.17 and 355.06 is: 532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.75 : 1,831.17 = 355.06 : x
  2. Step 2: Convert to fraction form
    1,220.75/1,831.17 = 355.06/x
  3. Step 3: Cross multiply
    1,220.75x = 1,831.17 × 355.06
  4. Step 4: Simplify right side
    1,220.75x = 650,176.11
  5. Step 5: Solve for x
    x = 650,176.11/1,220.75
  6. Step 6: Final answer
    x = 532.60

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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.