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Finding the Fourth Proportional to 949.24, 1,423.77 and 643.06

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Solution

The fourth proportional to 949.24, 1,423.77 and 643.06 is: 964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.24 : 1,423.77 = 643.06 : x
  2. Step 2: Convert to fraction form
    949.24/1,423.77 = 643.06/x
  3. Step 3: Cross multiply
    949.24x = 1,423.77 × 643.06
  4. Step 4: Simplify right side
    949.24x = 915,569.54
  5. Step 5: Solve for x
    x = 915,569.54/949.24
  6. Step 6: Final answer
    x = 964.53

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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.