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Finding the Fourth Proportional to 965.51, 1,441.27 and 848.74

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Solution

The fourth proportional to 965.51, 1,441.27 and 848.74 is: 1,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.51 : 1,441.27 = 848.74 : x
  2. Step 2: Convert to fraction form
    965.51/1,441.27 = 848.74/x
  3. Step 3: Cross multiply
    965.51x = 1,441.27 × 848.74
  4. Step 4: Simplify right side
    965.51x = 1,223,265.62
  5. Step 5: Solve for x
    x = 1,223,265.62/965.51
  6. Step 6: Final answer
    x = 1,266.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.