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Finding the Fourth Proportional to 1,171.52, 1,757.28 and 305.76

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Solution

The fourth proportional to 1,171.52, 1,757.28 and 305.76 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.52 : 1,757.28 = 305.76 : x
  2. Step 2: Convert to fraction form
    1,171.52/1,757.28 = 305.76/x
  3. Step 3: Cross multiply
    1,171.52x = 1,757.28 × 305.76
  4. Step 4: Simplify right side
    1,171.52x = 537,305.93
  5. Step 5: Solve for x
    x = 537,305.93/1,171.52
  6. Step 6: Final answer
    x = 458.64

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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.