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Finding the Fourth Proportional to 965.90, 1,448.22 and 472.10

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Solution

The fourth proportional to 965.90, 1,448.22 and 472.10 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.90 : 1,448.22 = 472.10 : x
  2. Step 2: Convert to fraction form
    965.90/1,448.22 = 472.10/x
  3. Step 3: Cross multiply
    965.90x = 1,448.22 × 472.10
  4. Step 4: Simplify right side
    965.90x = 683,704.66
  5. Step 5: Solve for x
    x = 683,704.66/965.90
  6. Step 6: Final answer
    x = 707.84

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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.