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Finding the Fourth Proportional to 1,388.77, 1,916.47 and 759.30

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Solution

The fourth proportional to 1,388.77, 1,916.47 and 759.30 is: 1,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.77 : 1,916.47 = 759.30 : x
  2. Step 2: Convert to fraction form
    1,388.77/1,916.47 = 759.30/x
  3. Step 3: Cross multiply
    1,388.77x = 1,916.47 × 759.30
  4. Step 4: Simplify right side
    1,388.77x = 1,455,162.29
  5. Step 5: Solve for x
    x = 1,455,162.29/1,388.77
  6. Step 6: Final answer
    x = 1,047.81

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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.