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Finding the Fourth Proportional to 965.45, 1,447.18 and 417.17

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Solution

The fourth proportional to 965.45, 1,447.18 and 417.17 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.45 : 1,447.18 = 417.17 : x
  2. Step 2: Convert to fraction form
    965.45/1,447.18 = 417.17/x
  3. Step 3: Cross multiply
    965.45x = 1,447.18 × 417.17
  4. Step 4: Simplify right side
    965.45x = 603,720.08
  5. Step 5: Solve for x
    x = 603,720.08/965.45
  6. Step 6: Final answer
    x = 625.33

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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.