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Finding the Fourth Proportional to 1,030.77, 1,422.90 and 716.49

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Solution

The fourth proportional to 1,030.77, 1,422.90 and 716.49 is: 989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.77 : 1,422.90 = 716.49 : x
  2. Step 2: Convert to fraction form
    1,030.77/1,422.90 = 716.49/x
  3. Step 3: Cross multiply
    1,030.77x = 1,422.90 × 716.49
  4. Step 4: Simplify right side
    1,030.77x = 1,019,493.62
  5. Step 5: Solve for x
    x = 1,019,493.62/1,030.77
  6. Step 6: Final answer
    x = 989.06

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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.