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Finding the Fourth Proportional to 693.04, 1,039.48 and 260.23

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Solution

The fourth proportional to 693.04, 1,039.48 and 260.23 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,039.48 = 260.23 : x
  2. Step 2: Convert to fraction form
    693.04/1,039.48 = 260.23/x
  3. Step 3: Cross multiply
    693.04x = 1,039.48 × 260.23
  4. Step 4: Simplify right side
    693.04x = 270,498.68
  5. Step 5: Solve for x
    x = 270,498.68/693.04
  6. Step 6: Final answer
    x = 390.31

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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.