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Finding the Fourth Proportional to 1,030.80, 1,422.47 and 605.51

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Solution

The fourth proportional to 1,030.80, 1,422.47 and 605.51 is: 835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.80 : 1,422.47 = 605.51 : x
  2. Step 2: Convert to fraction form
    1,030.80/1,422.47 = 605.51/x
  3. Step 3: Cross multiply
    1,030.80x = 1,422.47 × 605.51
  4. Step 4: Simplify right side
    1,030.80x = 861,309.67
  5. Step 5: Solve for x
    x = 861,309.67/1,030.80
  6. Step 6: Final answer
    x = 835.57

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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.