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Finding the Fourth Proportional to 961.58, 1,444.11 and 717.32

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Solution

The fourth proportional to 961.58, 1,444.11 and 717.32 is: 1,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.58 : 1,444.11 = 717.32 : x
  2. Step 2: Convert to fraction form
    961.58/1,444.11 = 717.32/x
  3. Step 3: Cross multiply
    961.58x = 1,444.11 × 717.32
  4. Step 4: Simplify right side
    961.58x = 1,035,888.99
  5. Step 5: Solve for x
    x = 1,035,888.99/961.58
  6. Step 6: Final answer
    x = 1,077.28

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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.