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Finding the Fourth Proportional to 1,537.47, 2,305.14 and 757.64

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Solution

The fourth proportional to 1,537.47, 2,305.14 and 757.64 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.47 : 2,305.14 = 757.64 : x
  2. Step 2: Convert to fraction form
    1,537.47/2,305.14 = 757.64/x
  3. Step 3: Cross multiply
    1,537.47x = 2,305.14 × 757.64
  4. Step 4: Simplify right side
    1,537.47x = 1,746,454.74
  5. Step 5: Solve for x
    x = 1,746,454.74/1,537.47
  6. Step 6: Final answer
    x = 1,135.93

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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.