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Finding the Fourth Proportional to 965.01, 1,447.82 and 417.21

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Solution

The fourth proportional to 965.01, 1,447.82 and 417.21 is: 625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.01 : 1,447.82 = 417.21 : x
  2. Step 2: Convert to fraction form
    965.01/1,447.82 = 417.21/x
  3. Step 3: Cross multiply
    965.01x = 1,447.82 × 417.21
  4. Step 4: Simplify right side
    965.01x = 604,042.90
  5. Step 5: Solve for x
    x = 604,042.90/965.01
  6. Step 6: Final answer
    x = 625.94

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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.