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Finding the Fourth Proportional to 965.60, 1,448.34 and 471.81

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Solution

The fourth proportional to 965.60, 1,448.34 and 471.81 is: 707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.60 : 1,448.34 = 471.81 : x
  2. Step 2: Convert to fraction form
    965.60/1,448.34 = 471.81/x
  3. Step 3: Cross multiply
    965.60x = 1,448.34 × 471.81
  4. Step 4: Simplify right side
    965.60x = 683,338.94
  5. Step 5: Solve for x
    x = 683,338.94/965.60
  6. Step 6: Final answer
    x = 707.69

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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.