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Finding the Fourth Proportional to 1,354.13, 1,868.69 and 733.13

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Solution

The fourth proportional to 1,354.13, 1,868.69 and 733.13 is: 1,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.13 : 1,868.69 = 733.13 : x
  2. Step 2: Convert to fraction form
    1,354.13/1,868.69 = 733.13/x
  3. Step 3: Cross multiply
    1,354.13x = 1,868.69 × 733.13
  4. Step 4: Simplify right side
    1,354.13x = 1,369,992.70
  5. Step 5: Solve for x
    x = 1,369,992.70/1,354.13
  6. Step 6: Final answer
    x = 1,011.71

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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.