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Finding the Fourth Proportional to 1,268.53, 1,901.17 and 652.12

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Solution

The fourth proportional to 1,268.53, 1,901.17 and 652.12 is: 977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.53 : 1,901.17 = 652.12 : x
  2. Step 2: Convert to fraction form
    1,268.53/1,901.17 = 652.12/x
  3. Step 3: Cross multiply
    1,268.53x = 1,901.17 × 652.12
  4. Step 4: Simplify right side
    1,268.53x = 1,239,790.98
  5. Step 5: Solve for x
    x = 1,239,790.98/1,268.53
  6. Step 6: Final answer
    x = 977.34

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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.