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Finding the Fourth Proportional to 1,022.24, 1,410.72 and 602.62

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Solution

The fourth proportional to 1,022.24, 1,410.72 and 602.62 is: 831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.24 : 1,410.72 = 602.62 : x
  2. Step 2: Convert to fraction form
    1,022.24/1,410.72 = 602.62/x
  3. Step 3: Cross multiply
    1,022.24x = 1,410.72 × 602.62
  4. Step 4: Simplify right side
    1,022.24x = 850,128.09
  5. Step 5: Solve for x
    x = 850,128.09/1,022.24
  6. Step 6: Final answer
    x = 831.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.