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Finding the Fourth Proportional to 1,402.85, 1,936.10 and 813.41

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Solution

The fourth proportional to 1,402.85, 1,936.10 and 813.41 is: 1,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.85 : 1,936.10 = 813.41 : x
  2. Step 2: Convert to fraction form
    1,402.85/1,936.10 = 813.41/x
  3. Step 3: Cross multiply
    1,402.85x = 1,936.10 × 813.41
  4. Step 4: Simplify right side
    1,402.85x = 1,574,842.71
  5. Step 5: Solve for x
    x = 1,574,842.71/1,402.85
  6. Step 6: Final answer
    x = 1,122.60

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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.