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Finding the Fourth Proportional to 965.72, 1,447.49 and 417.08

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Solution

The fourth proportional to 965.72, 1,447.49 and 417.08 is: 625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.72 : 1,447.49 = 417.08 : x
  2. Step 2: Convert to fraction form
    965.72/1,447.49 = 417.08/x
  3. Step 3: Cross multiply
    965.72x = 1,447.49 × 417.08
  4. Step 4: Simplify right side
    965.72x = 603,712.93
  5. Step 5: Solve for x
    x = 603,712.93/965.72
  6. Step 6: Final answer
    x = 625.15

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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.