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Finding the Fourth Proportional to 1,264.48, 1,742.88 and 969.28

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Solution

The fourth proportional to 1,264.48, 1,742.88 and 969.28 is: 1,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.48 : 1,742.88 = 969.28 : x
  2. Step 2: Convert to fraction form
    1,264.48/1,742.88 = 969.28/x
  3. Step 3: Cross multiply
    1,264.48x = 1,742.88 × 969.28
  4. Step 4: Simplify right side
    1,264.48x = 1,689,338.73
  5. Step 5: Solve for x
    x = 1,689,338.73/1,264.48
  6. Step 6: Final answer
    x = 1,335.99

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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.