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Finding the Fourth Proportional to 736.32, 1,015.20 and 619.20

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Solution

The fourth proportional to 736.32, 1,015.20 and 619.20 is: 853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.32 : 1,015.20 = 619.20 : x
  2. Step 2: Convert to fraction form
    736.32/1,015.20 = 619.20/x
  3. Step 3: Cross multiply
    736.32x = 1,015.20 × 619.20
  4. Step 4: Simplify right side
    736.32x = 628,611.84
  5. Step 5: Solve for x
    x = 628,611.84/736.32
  6. Step 6: Final answer
    x = 853.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.