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Finding the Fourth Proportional to 763.63, 1,143.83 and 633.32

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Solution

The fourth proportional to 763.63, 1,143.83 and 633.32 is: 948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.63 : 1,143.83 = 633.32 : x
  2. Step 2: Convert to fraction form
    763.63/1,143.83 = 633.32/x
  3. Step 3: Cross multiply
    763.63x = 1,143.83 × 633.32
  4. Step 4: Simplify right side
    763.63x = 724,410.57
  5. Step 5: Solve for x
    x = 724,410.57/763.63
  6. Step 6: Final answer
    x = 948.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.