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Finding the Fourth Proportional to 693.03, 1,039.41 and 260.10

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Solution

The fourth proportional to 693.03, 1,039.41 and 260.10 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.03 : 1,039.41 = 260.10 : x
  2. Step 2: Convert to fraction form
    693.03/1,039.41 = 260.10/x
  3. Step 3: Cross multiply
    693.03x = 1,039.41 × 260.10
  4. Step 4: Simplify right side
    693.03x = 270,350.54
  5. Step 5: Solve for x
    x = 270,350.54/693.03
  6. Step 6: Final answer
    x = 390.10

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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.