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Finding the Fourth Proportional to 1,354.76, 1,869.74 and 765.28

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Solution

The fourth proportional to 1,354.76, 1,869.74 and 765.28 is: 1,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.76 : 1,869.74 = 765.28 : x
  2. Step 2: Convert to fraction form
    1,354.76/1,869.74 = 765.28/x
  3. Step 3: Cross multiply
    1,354.76x = 1,869.74 × 765.28
  4. Step 4: Simplify right side
    1,354.76x = 1,430,876.01
  5. Step 5: Solve for x
    x = 1,430,876.01/1,354.76
  6. Step 6: Final answer
    x = 1,056.19

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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.