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Finding the Fourth Proportional to 1,310.83, 1,963.92 and 693.17

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Solution

The fourth proportional to 1,310.83, 1,963.92 and 693.17 is: 1,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,963.92 = 693.17 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,963.92 = 693.17/x
  3. Step 3: Cross multiply
    1,310.83x = 1,963.92 × 693.17
  4. Step 4: Simplify right side
    1,310.83x = 1,361,330.43
  5. Step 5: Solve for x
    x = 1,361,330.43/1,310.83
  6. Step 6: Final answer
    x = 1,038.53

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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.