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Finding the Fourth Proportional to 1,301.26, 1,951.62 and 479.32

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Solution

The fourth proportional to 1,301.26, 1,951.62 and 479.32 is: 718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.26 : 1,951.62 = 479.32 : x
  2. Step 2: Convert to fraction form
    1,301.26/1,951.62 = 479.32/x
  3. Step 3: Cross multiply
    1,301.26x = 1,951.62 × 479.32
  4. Step 4: Simplify right side
    1,301.26x = 935,450.50
  5. Step 5: Solve for x
    x = 935,450.50/1,301.26
  6. Step 6: Final answer
    x = 718.88

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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.