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Finding the Fourth Proportional to 1,537.39, 2,305.80 and 660.05

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Solution

The fourth proportional to 1,537.39, 2,305.80 and 660.05 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.39 : 2,305.80 = 660.05 : x
  2. Step 2: Convert to fraction form
    1,537.39/2,305.80 = 660.05/x
  3. Step 3: Cross multiply
    1,537.39x = 2,305.80 × 660.05
  4. Step 4: Simplify right side
    1,537.39x = 1,521,943.29
  5. Step 5: Solve for x
    x = 1,521,943.29/1,537.39
  6. Step 6: Final answer
    x = 989.95

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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.