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Finding the Fourth Proportional to 1,402.95, 1,936.06 and 813.83

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Solution

The fourth proportional to 1,402.95, 1,936.06 and 813.83 is: 1,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.95 : 1,936.06 = 813.83 : x
  2. Step 2: Convert to fraction form
    1,402.95/1,936.06 = 813.83/x
  3. Step 3: Cross multiply
    1,402.95x = 1,936.06 × 813.83
  4. Step 4: Simplify right side
    1,402.95x = 1,575,615.05
  5. Step 5: Solve for x
    x = 1,575,615.05/1,402.95
  6. Step 6: Final answer
    x = 1,123.07

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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.