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Finding the Fourth Proportional to 1,001.76, 1,502.49 and 308.23

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Solution

The fourth proportional to 1,001.76, 1,502.49 and 308.23 is: 462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.76 : 1,502.49 = 308.23 : x
  2. Step 2: Convert to fraction form
    1,001.76/1,502.49 = 308.23/x
  3. Step 3: Cross multiply
    1,001.76x = 1,502.49 × 308.23
  4. Step 4: Simplify right side
    1,001.76x = 463,109.89
  5. Step 5: Solve for x
    x = 463,109.89/1,001.76
  6. Step 6: Final answer
    x = 462.30

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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.