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Finding the Fourth Proportional to 1,301.16, 1,951.50 and 376.49

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Solution

The fourth proportional to 1,301.16, 1,951.50 and 376.49 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.16 : 1,951.50 = 376.49 : x
  2. Step 2: Convert to fraction form
    1,301.16/1,951.50 = 376.49/x
  3. Step 3: Cross multiply
    1,301.16x = 1,951.50 × 376.49
  4. Step 4: Simplify right side
    1,301.16x = 734,720.24
  5. Step 5: Solve for x
    x = 734,720.24/1,301.16
  6. Step 6: Final answer
    x = 564.67

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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.