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Finding the Fourth Proportional to 965.54, 1,446.88 and 656.32

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Solution

The fourth proportional to 965.54, 1,446.88 and 656.32 is: 983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.54 : 1,446.88 = 656.32 : x
  2. Step 2: Convert to fraction form
    965.54/1,446.88 = 656.32/x
  3. Step 3: Cross multiply
    965.54x = 1,446.88 × 656.32
  4. Step 4: Simplify right side
    965.54x = 949,616.28
  5. Step 5: Solve for x
    x = 949,616.28/965.54
  6. Step 6: Final answer
    x = 983.51

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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.