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Finding the Fourth Proportional to 709.72, 1,065.30 and 693.88

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Solution

The fourth proportional to 709.72, 1,065.30 and 693.88 is: 1,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 1,065.30 = 693.88 : x
  2. Step 2: Convert to fraction form
    709.72/1,065.30 = 693.88/x
  3. Step 3: Cross multiply
    709.72x = 1,065.30 × 693.88
  4. Step 4: Simplify right side
    709.72x = 739,190.36
  5. Step 5: Solve for x
    x = 739,190.36/709.72
  6. Step 6: Final answer
    x = 1,041.52

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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.