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Finding the Fourth Proportional to 1,304.72, 1,957.53 and 817.19

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Solution

The fourth proportional to 1,304.72, 1,957.53 and 817.19 is: 1,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.72 : 1,957.53 = 817.19 : x
  2. Step 2: Convert to fraction form
    1,304.72/1,957.53 = 817.19/x
  3. Step 3: Cross multiply
    1,304.72x = 1,957.53 × 817.19
  4. Step 4: Simplify right side
    1,304.72x = 1,599,673.94
  5. Step 5: Solve for x
    x = 1,599,673.94/1,304.72
  6. Step 6: Final answer
    x = 1,226.07

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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.