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Finding the Fourth Proportional to 1,301.42, 1,951.66 and 376.66

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Solution

The fourth proportional to 1,301.42, 1,951.66 and 376.66 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.42 : 1,951.66 = 376.66 : x
  2. Step 2: Convert to fraction form
    1,301.42/1,951.66 = 376.66/x
  3. Step 3: Cross multiply
    1,301.42x = 1,951.66 × 376.66
  4. Step 4: Simplify right side
    1,301.42x = 735,112.26
  5. Step 5: Solve for x
    x = 735,112.26/1,301.42
  6. Step 6: Final answer
    x = 564.85

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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.