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Finding the Fourth Proportional to 1,410.96, 2,114.16 and 762

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Solution

The fourth proportional to 1,410.96, 2,114.16 and 762 is: 1,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 2,114.16 = 762 : x
  2. Step 2: Convert to fraction form
    1,410.96/2,114.16 = 762/x
  3. Step 3: Cross multiply
    1,410.96x = 2,114.16 × 762
  4. Step 4: Simplify right side
    1,410.96x = 1,610,989.92
  5. Step 5: Solve for x
    x = 1,610,989.92/1,410.96
  6. Step 6: Final answer
    x = 1,141.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.