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Finding the Fourth Proportional to 1,169.85, 1,754.82 and 304.14

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Solution

The fourth proportional to 1,169.85, 1,754.82 and 304.14 is: 456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.85 : 1,754.82 = 304.14 : x
  2. Step 2: Convert to fraction form
    1,169.85/1,754.82 = 304.14/x
  3. Step 3: Cross multiply
    1,169.85x = 1,754.82 × 304.14
  4. Step 4: Simplify right side
    1,169.85x = 533,710.95
  5. Step 5: Solve for x
    x = 533,710.95/1,169.85
  6. Step 6: Final answer
    x = 456.22

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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.