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Finding the Fourth Proportional to 965.66, 1,448.43 and 471.87

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Solution

The fourth proportional to 965.66, 1,448.43 and 471.87 is: 707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.66 : 1,448.43 = 471.87 : x
  2. Step 2: Convert to fraction form
    965.66/1,448.43 = 471.87/x
  3. Step 3: Cross multiply
    965.66x = 1,448.43 × 471.87
  4. Step 4: Simplify right side
    965.66x = 683,474.92
  5. Step 5: Solve for x
    x = 683,474.92/965.66
  6. Step 6: Final answer
    x = 707.78

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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.