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Finding the Fourth Proportional to 1,388.76, 1,916.48 and 759.29

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Solution

The fourth proportional to 1,388.76, 1,916.48 and 759.29 is: 1,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.76 : 1,916.48 = 759.29 : x
  2. Step 2: Convert to fraction form
    1,388.76/1,916.48 = 759.29/x
  3. Step 3: Cross multiply
    1,388.76x = 1,916.48 × 759.29
  4. Step 4: Simplify right side
    1,388.76x = 1,455,164.10
  5. Step 5: Solve for x
    x = 1,455,164.10/1,388.76
  6. Step 6: Final answer
    x = 1,047.82

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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.