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Finding the Fourth Proportional to 1,268.49, 1,901.62 and 719.89

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Solution

The fourth proportional to 1,268.49, 1,901.62 and 719.89 is: 1,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.49 : 1,901.62 = 719.89 : x
  2. Step 2: Convert to fraction form
    1,268.49/1,901.62 = 719.89/x
  3. Step 3: Cross multiply
    1,268.49x = 1,901.62 × 719.89
  4. Step 4: Simplify right side
    1,268.49x = 1,368,957.22
  5. Step 5: Solve for x
    x = 1,368,957.22/1,268.49
  6. Step 6: Final answer
    x = 1,079.20

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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.