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Finding the Fourth Proportional to 1,304.60, 1,957.93 and 1,150.83

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Solution

The fourth proportional to 1,304.60, 1,957.93 and 1,150.83 is: 1,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.60 : 1,957.93 = 1,150.83 : x
  2. Step 2: Convert to fraction form
    1,304.60/1,957.93 = 1,150.83/x
  3. Step 3: Cross multiply
    1,304.60x = 1,957.93 × 1,150.83
  4. Step 4: Simplify right side
    1,304.60x = 2,253,241.70
  5. Step 5: Solve for x
    x = 2,253,241.70/1,304.60
  6. Step 6: Final answer
    x = 1,727.16

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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.