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Finding the Fourth Proportional to 722.81, 1,083.45 and 357.14

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Solution

The fourth proportional to 722.81, 1,083.45 and 357.14 is: 535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 1,083.45 = 357.14 : x
  2. Step 2: Convert to fraction form
    722.81/1,083.45 = 357.14/x
  3. Step 3: Cross multiply
    722.81x = 1,083.45 × 357.14
  4. Step 4: Simplify right side
    722.81x = 386,943.33
  5. Step 5: Solve for x
    x = 386,943.33/722.81
  6. Step 6: Final answer
    x = 535.33

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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.