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Finding the Fourth Proportional to 1,537.12, 2,305.71 and 613.12

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Solution

The fourth proportional to 1,537.12, 2,305.71 and 613.12 is: 919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.12 : 2,305.71 = 613.12 : x
  2. Step 2: Convert to fraction form
    1,537.12/2,305.71 = 613.12/x
  3. Step 3: Cross multiply
    1,537.12x = 2,305.71 × 613.12
  4. Step 4: Simplify right side
    1,537.12x = 1,413,676.92
  5. Step 5: Solve for x
    x = 1,413,676.92/1,537.12
  6. Step 6: Final answer
    x = 919.69

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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.