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Finding the Fourth Proportional to 1,083.33, 1,494.29 and 710.82

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Solution

The fourth proportional to 1,083.33, 1,494.29 and 710.82 is: 980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.33 : 1,494.29 = 710.82 : x
  2. Step 2: Convert to fraction form
    1,083.33/1,494.29 = 710.82/x
  3. Step 3: Cross multiply
    1,083.33x = 1,494.29 × 710.82
  4. Step 4: Simplify right side
    1,083.33x = 1,062,167.66
  5. Step 5: Solve for x
    x = 1,062,167.66/1,083.33
  6. Step 6: Final answer
    x = 980.47

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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.