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Finding the Fourth Proportional to 712.06, 983.09 and 545.96

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Solution

The fourth proportional to 712.06, 983.09 and 545.96 is: 753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 983.09 = 545.96 : x
  2. Step 2: Convert to fraction form
    712.06/983.09 = 545.96/x
  3. Step 3: Cross multiply
    712.06x = 983.09 × 545.96
  4. Step 4: Simplify right side
    712.06x = 536,727.82
  5. Step 5: Solve for x
    x = 536,727.82/712.06
  6. Step 6: Final answer
    x = 753.77

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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.