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Finding the Fourth Proportional to 1,182.01, 1,772.96 and 488.48

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Solution

The fourth proportional to 1,182.01, 1,772.96 and 488.48 is: 732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.01 : 1,772.96 = 488.48 : x
  2. Step 2: Convert to fraction form
    1,182.01/1,772.96 = 488.48/x
  3. Step 3: Cross multiply
    1,182.01x = 1,772.96 × 488.48
  4. Step 4: Simplify right side
    1,182.01x = 866,044.19
  5. Step 5: Solve for x
    x = 866,044.19/1,182.01
  6. Step 6: Final answer
    x = 732.69

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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.