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Finding the Fourth Proportional to 1,402.44, 1,935.45 and 813.18

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Solution

The fourth proportional to 1,402.44, 1,935.45 and 813.18 is: 1,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.44 : 1,935.45 = 813.18 : x
  2. Step 2: Convert to fraction form
    1,402.44/1,935.45 = 813.18/x
  3. Step 3: Cross multiply
    1,402.44x = 1,935.45 × 813.18
  4. Step 4: Simplify right side
    1,402.44x = 1,573,869.23
  5. Step 5: Solve for x
    x = 1,573,869.23/1,402.44
  6. Step 6: Final answer
    x = 1,122.24

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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.