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Finding the Fourth Proportional to 965.93, 1,447.07 and 417.96

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Solution

The fourth proportional to 965.93, 1,447.07 and 417.96 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.93 : 1,447.07 = 417.96 : x
  2. Step 2: Convert to fraction form
    965.93/1,447.07 = 417.96/x
  3. Step 3: Cross multiply
    965.93x = 1,447.07 × 417.96
  4. Step 4: Simplify right side
    965.93x = 604,815.29
  5. Step 5: Solve for x
    x = 604,815.29/965.93
  6. Step 6: Final answer
    x = 626.15

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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.