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Finding the Fourth Proportional to 1,220.63, 1,831.01 and 355.01

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Solution

The fourth proportional to 1,220.63, 1,831.01 and 355.01 is: 532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.63 : 1,831.01 = 355.01 : x
  2. Step 2: Convert to fraction form
    1,220.63/1,831.01 = 355.01/x
  3. Step 3: Cross multiply
    1,220.63x = 1,831.01 × 355.01
  4. Step 4: Simplify right side
    1,220.63x = 650,015.93
  5. Step 5: Solve for x
    x = 650,015.93/1,220.63
  6. Step 6: Final answer
    x = 532.53

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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.