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Finding the Fourth Proportional to 783.71, 1,081.14 and 518.42

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Solution

The fourth proportional to 783.71, 1,081.14 and 518.42 is: 715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.71 : 1,081.14 = 518.42 : x
  2. Step 2: Convert to fraction form
    783.71/1,081.14 = 518.42/x
  3. Step 3: Cross multiply
    783.71x = 1,081.14 × 518.42
  4. Step 4: Simplify right side
    783.71x = 560,484.60
  5. Step 5: Solve for x
    x = 560,484.60/783.71
  6. Step 6: Final answer
    x = 715.17

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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.