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Finding the Fourth Proportional to 1,163.88, 1,746.06 and 433.44

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Solution

The fourth proportional to 1,163.88, 1,746.06 and 433.44 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.88 : 1,746.06 = 433.44 : x
  2. Step 2: Convert to fraction form
    1,163.88/1,746.06 = 433.44/x
  3. Step 3: Cross multiply
    1,163.88x = 1,746.06 × 433.44
  4. Step 4: Simplify right side
    1,163.88x = 756,812.25
  5. Step 5: Solve for x
    x = 756,812.25/1,163.88
  6. Step 6: Final answer
    x = 650.25

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1.5x scale

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.