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Finding the Fourth Proportional to 712.71, 983.95 and 543.33

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Solution

The fourth proportional to 712.71, 983.95 and 543.33 is: 750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 983.95 = 543.33 : x
  2. Step 2: Convert to fraction form
    712.71/983.95 = 543.33/x
  3. Step 3: Cross multiply
    712.71x = 983.95 × 543.33
  4. Step 4: Simplify right side
    712.71x = 534,607.18
  5. Step 5: Solve for x
    x = 534,607.18/712.71
  6. Step 6: Final answer
    x = 750.11

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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.