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Finding the Fourth Proportional to 1,312.76, 1,965.30 and 796.28

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Solution

The fourth proportional to 1,312.76, 1,965.30 and 796.28 is: 1,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.76 : 1,965.30 = 796.28 : x
  2. Step 2: Convert to fraction form
    1,312.76/1,965.30 = 796.28/x
  3. Step 3: Cross multiply
    1,312.76x = 1,965.30 × 796.28
  4. Step 4: Simplify right side
    1,312.76x = 1,564,929.08
  5. Step 5: Solve for x
    x = 1,564,929.08/1,312.76
  6. Step 6: Final answer
    x = 1,192.09

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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.