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Finding the Fourth Proportional to 1,268.17, 1,901.07 and 650.51

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Solution

The fourth proportional to 1,268.17, 1,901.07 and 650.51 is: 975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.17 : 1,901.07 = 650.51 : x
  2. Step 2: Convert to fraction form
    1,268.17/1,901.07 = 650.51/x
  3. Step 3: Cross multiply
    1,268.17x = 1,901.07 × 650.51
  4. Step 4: Simplify right side
    1,268.17x = 1,236,660.29
  5. Step 5: Solve for x
    x = 1,236,660.29/1,268.17
  6. Step 6: Final answer
    x = 975.15

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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.