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Finding the Fourth Proportional to 1,403.42, 1,936.78 and 814.28

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Solution

The fourth proportional to 1,403.42, 1,936.78 and 814.28 is: 1,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.42 : 1,936.78 = 814.28 : x
  2. Step 2: Convert to fraction form
    1,403.42/1,936.78 = 814.28/x
  3. Step 3: Cross multiply
    1,403.42x = 1,936.78 × 814.28
  4. Step 4: Simplify right side
    1,403.42x = 1,577,069.50
  5. Step 5: Solve for x
    x = 1,577,069.50/1,403.42
  6. Step 6: Final answer
    x = 1,123.74

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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.