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Finding the Fourth Proportional to 965.19, 1,448.54 and 691.53

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Solution

The fourth proportional to 965.19, 1,448.54 and 691.53 is: 1,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.19 : 1,448.54 = 691.53 : x
  2. Step 2: Convert to fraction form
    965.19/1,448.54 = 691.53/x
  3. Step 3: Cross multiply
    965.19x = 1,448.54 × 691.53
  4. Step 4: Simplify right side
    965.19x = 1,001,705.41
  5. Step 5: Solve for x
    x = 1,001,705.41/965.19
  6. Step 6: Final answer
    x = 1,037.83

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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.