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Finding the Fourth Proportional to 1,264.28, 1,746.36 and 969.03

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Solution

The fourth proportional to 1,264.28, 1,746.36 and 969.03 is: 1,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.28 : 1,746.36 = 969.03 : x
  2. Step 2: Convert to fraction form
    1,264.28/1,746.36 = 969.03/x
  3. Step 3: Cross multiply
    1,264.28x = 1,746.36 × 969.03
  4. Step 4: Simplify right side
    1,264.28x = 1,692,275.23
  5. Step 5: Solve for x
    x = 1,692,275.23/1,264.28
  6. Step 6: Final answer
    x = 1,338.53

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1.5x scale

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.