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Finding the Fourth Proportional to 964.58, 1,444.23 and 703.22

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Solution

The fourth proportional to 964.58, 1,444.23 and 703.22 is: 1,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.58 : 1,444.23 = 703.22 : x
  2. Step 2: Convert to fraction form
    964.58/1,444.23 = 703.22/x
  3. Step 3: Cross multiply
    964.58x = 1,444.23 × 703.22
  4. Step 4: Simplify right side
    964.58x = 1,015,604.20
  5. Step 5: Solve for x
    x = 1,015,604.20/964.58
  6. Step 6: Final answer
    x = 1,052.90

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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.