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Finding the Fourth Proportional to 965.53, 1,447.65 and 497.31

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Solution

The fourth proportional to 965.53, 1,447.65 and 497.31 is: 745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.53 : 1,447.65 = 497.31 : x
  2. Step 2: Convert to fraction form
    965.53/1,447.65 = 497.31/x
  3. Step 3: Cross multiply
    965.53x = 1,447.65 × 497.31
  4. Step 4: Simplify right side
    965.53x = 719,923.58
  5. Step 5: Solve for x
    x = 719,923.58/965.53
  6. Step 6: Final answer
    x = 745.63

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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.