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Finding the Fourth Proportional to 1,652.31, 2,477.34 and 773.91

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Solution

The fourth proportional to 1,652.31, 2,477.34 and 773.91 is: 1,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.31 : 2,477.34 = 773.91 : x
  2. Step 2: Convert to fraction form
    1,652.31/2,477.34 = 773.91/x
  3. Step 3: Cross multiply
    1,652.31x = 2,477.34 × 773.91
  4. Step 4: Simplify right side
    1,652.31x = 1,917,238.20
  5. Step 5: Solve for x
    x = 1,917,238.20/1,652.31
  6. Step 6: Final answer
    x = 1,160.34

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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.