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Finding the Fourth Proportional to 949.87, 1,424.71 and 643.69

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Solution

The fourth proportional to 949.87, 1,424.71 and 643.69 is: 965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.87 : 1,424.71 = 643.69 : x
  2. Step 2: Convert to fraction form
    949.87/1,424.71 = 643.69/x
  3. Step 3: Cross multiply
    949.87x = 1,424.71 × 643.69
  4. Step 4: Simplify right side
    949.87x = 917,061.24
  5. Step 5: Solve for x
    x = 917,061.24/949.87
  6. Step 6: Final answer
    x = 965.46

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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.