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Finding the Fourth Proportional to 1,268.44, 1,747.95 and 970.02

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Solution

The fourth proportional to 1,268.44, 1,747.95 and 970.02 is: 1,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.44 : 1,747.95 = 970.02 : x
  2. Step 2: Convert to fraction form
    1,268.44/1,747.95 = 970.02/x
  3. Step 3: Cross multiply
    1,268.44x = 1,747.95 × 970.02
  4. Step 4: Simplify right side
    1,268.44x = 1,695,546.46
  5. Step 5: Solve for x
    x = 1,695,546.46/1,268.44
  6. Step 6: Final answer
    x = 1,336.72

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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.