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Finding the Fourth Proportional to 1,301.35, 1,951.72 and 376.66

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Solution

The fourth proportional to 1,301.35, 1,951.72 and 376.66 is: 564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.35 : 1,951.72 = 376.66 : x
  2. Step 2: Convert to fraction form
    1,301.35/1,951.72 = 376.66/x
  3. Step 3: Cross multiply
    1,301.35x = 1,951.72 × 376.66
  4. Step 4: Simplify right side
    1,301.35x = 735,131.92
  5. Step 5: Solve for x
    x = 735,131.92/1,301.35
  6. Step 6: Final answer
    x = 564.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.