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Finding the Fourth Proportional to 1,354.70, 1,869.47 and 765.26

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Solution

The fourth proportional to 1,354.70, 1,869.47 and 765.26 is: 1,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.70 : 1,869.47 = 765.26 : x
  2. Step 2: Convert to fraction form
    1,354.70/1,869.47 = 765.26/x
  3. Step 3: Cross multiply
    1,354.70x = 1,869.47 × 765.26
  4. Step 4: Simplify right side
    1,354.70x = 1,430,617.44
  5. Step 5: Solve for x
    x = 1,430,617.44/1,354.70
  6. Step 6: Final answer
    x = 1,056.04

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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.