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Finding the Fourth Proportional to 693.05, 954.02 and 527.19

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Solution

The fourth proportional to 693.05, 954.02 and 527.19 is: 725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.05 : 954.02 = 527.19 : x
  2. Step 2: Convert to fraction form
    693.05/954.02 = 527.19/x
  3. Step 3: Cross multiply
    693.05x = 954.02 × 527.19
  4. Step 4: Simplify right side
    693.05x = 502,947.17
  5. Step 5: Solve for x
    x = 502,947.17/693.05
  6. Step 6: Final answer
    x = 725.71

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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.