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Finding the Fourth Proportional to 1,182.33, 1,773.47 and 304.82

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Solution

The fourth proportional to 1,182.33, 1,773.47 and 304.82 is: 457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.33 : 1,773.47 = 304.82 : x
  2. Step 2: Convert to fraction form
    1,182.33/1,773.47 = 304.82/x
  3. Step 3: Cross multiply
    1,182.33x = 1,773.47 × 304.82
  4. Step 4: Simplify right side
    1,182.33x = 540,585.96
  5. Step 5: Solve for x
    x = 540,585.96/1,182.33
  6. Step 6: Final answer
    x = 457.22

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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.