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Finding the Fourth Proportional to 965.19, 1,447.20 and 416.91

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Solution

The fourth proportional to 965.19, 1,447.20 and 416.91 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.19 : 1,447.20 = 416.91 : x
  2. Step 2: Convert to fraction form
    965.19/1,447.20 = 416.91/x
  3. Step 3: Cross multiply
    965.19x = 1,447.20 × 416.91
  4. Step 4: Simplify right side
    965.19x = 603,352.15
  5. Step 5: Solve for x
    x = 603,352.15/965.19
  6. Step 6: Final answer
    x = 625.11

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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.