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Finding the Fourth Proportional to 883.74, 1,325.97 and 306.66

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Solution

The fourth proportional to 883.74, 1,325.97 and 306.66 is: 460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,325.97 = 306.66 : x
  2. Step 2: Convert to fraction form
    883.74/1,325.97 = 306.66/x
  3. Step 3: Cross multiply
    883.74x = 1,325.97 × 306.66
  4. Step 4: Simplify right side
    883.74x = 406,621.96
  5. Step 5: Solve for x
    x = 406,621.96/883.74
  6. Step 6: Final answer
    x = 460.11

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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.