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Finding the Fourth Proportional to 1,363.38, 2,043.63 and 632.35

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Solution

The fourth proportional to 1,363.38, 2,043.63 and 632.35 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.38 : 2,043.63 = 632.35 : x
  2. Step 2: Convert to fraction form
    1,363.38/2,043.63 = 632.35/x
  3. Step 3: Cross multiply
    1,363.38x = 2,043.63 × 632.35
  4. Step 4: Simplify right side
    1,363.38x = 1,292,289.43
  5. Step 5: Solve for x
    x = 1,292,289.43/1,363.38
  6. Step 6: Final answer
    x = 947.86

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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.