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Finding the Fourth Proportional to 1,261.88, 1,737.30 and 965.24

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Solution

The fourth proportional to 1,261.88, 1,737.30 and 965.24 is: 1,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.88 : 1,737.30 = 965.24 : x
  2. Step 2: Convert to fraction form
    1,261.88/1,737.30 = 965.24/x
  3. Step 3: Cross multiply
    1,261.88x = 1,737.30 × 965.24
  4. Step 4: Simplify right side
    1,261.88x = 1,676,911.45
  5. Step 5: Solve for x
    x = 1,676,911.45/1,261.88
  6. Step 6: Final answer
    x = 1,328.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.