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Finding the Fourth Proportional to 949.26, 1,424.34 and 583.86

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Solution

The fourth proportional to 949.26, 1,424.34 and 583.86 is: 876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.26 : 1,424.34 = 583.86 : x
  2. Step 2: Convert to fraction form
    949.26/1,424.34 = 583.86/x
  3. Step 3: Cross multiply
    949.26x = 1,424.34 × 583.86
  4. Step 4: Simplify right side
    949.26x = 831,615.15
  5. Step 5: Solve for x
    x = 831,615.15/949.26
  6. Step 6: Final answer
    x = 876.07

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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.