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Finding the Fourth Proportional to 1,268.10, 1,901.70 and 434.97

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Solution

The fourth proportional to 1,268.10, 1,901.70 and 434.97 is: 652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.10 : 1,901.70 = 434.97 : x
  2. Step 2: Convert to fraction form
    1,268.10/1,901.70 = 434.97/x
  3. Step 3: Cross multiply
    1,268.10x = 1,901.70 × 434.97
  4. Step 4: Simplify right side
    1,268.10x = 827,182.45
  5. Step 5: Solve for x
    x = 827,182.45/1,268.10
  6. Step 6: Final answer
    x = 652.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.