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Finding the Fourth Proportional to 1,402.63, 1,935.21 and 813.15

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Solution

The fourth proportional to 1,402.63, 1,935.21 and 813.15 is: 1,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.63 : 1,935.21 = 813.15 : x
  2. Step 2: Convert to fraction form
    1,402.63/1,935.21 = 813.15/x
  3. Step 3: Cross multiply
    1,402.63x = 1,935.21 × 813.15
  4. Step 4: Simplify right side
    1,402.63x = 1,573,616.01
  5. Step 5: Solve for x
    x = 1,573,616.01/1,402.63
  6. Step 6: Final answer
    x = 1,121.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.