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Finding the Fourth Proportional to 1,354.89, 1,869.75 and 733.89

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Solution

The fourth proportional to 1,354.89, 1,869.75 and 733.89 is: 1,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.89 : 1,869.75 = 733.89 : x
  2. Step 2: Convert to fraction form
    1,354.89/1,869.75 = 733.89/x
  3. Step 3: Cross multiply
    1,354.89x = 1,869.75 × 733.89
  4. Step 4: Simplify right side
    1,354.89x = 1,372,190.83
  5. Step 5: Solve for x
    x = 1,372,190.83/1,354.89
  6. Step 6: Final answer
    x = 1,012.77

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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.