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Finding the Fourth Proportional to 1,691.30, 2,536.34 and 650.77

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Solution

The fourth proportional to 1,691.30, 2,536.34 and 650.77 is: 975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.30 : 2,536.34 = 650.77 : x
  2. Step 2: Convert to fraction form
    1,691.30/2,536.34 = 650.77/x
  3. Step 3: Cross multiply
    1,691.30x = 2,536.34 × 650.77
  4. Step 4: Simplify right side
    1,691.30x = 1,650,558.05
  5. Step 5: Solve for x
    x = 1,650,558.05/1,691.30
  6. Step 6: Final answer
    x = 975.91

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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.