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Finding the Fourth Proportional to 1,402.73, 1,935.63 and 813.30

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Solution

The fourth proportional to 1,402.73, 1,935.63 and 813.30 is: 1,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.73 : 1,935.63 = 813.30 : x
  2. Step 2: Convert to fraction form
    1,402.73/1,935.63 = 813.30/x
  3. Step 3: Cross multiply
    1,402.73x = 1,935.63 × 813.30
  4. Step 4: Simplify right side
    1,402.73x = 1,574,247.88
  5. Step 5: Solve for x
    x = 1,574,247.88/1,402.73
  6. Step 6: Final answer
    x = 1,122.27

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Why These Related Problems?

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