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Finding the Fourth Proportional to 965.45, 1,447.88 and 417.29

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Solution

The fourth proportional to 965.45, 1,447.88 and 417.29 is: 625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.45 : 1,447.88 = 417.29 : x
  2. Step 2: Convert to fraction form
    965.45/1,447.88 = 417.29/x
  3. Step 3: Cross multiply
    965.45x = 1,447.88 × 417.29
  4. Step 4: Simplify right side
    965.45x = 604,176.52
  5. Step 5: Solve for x
    x = 604,176.52/965.45
  6. Step 6: Final answer
    x = 625.80

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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.