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Finding the Fourth Proportional to 1,163.66, 1,606.52 and 771.22

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Solution

The fourth proportional to 1,163.66, 1,606.52 and 771.22 is: 1,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.66 : 1,606.52 = 771.22 : x
  2. Step 2: Convert to fraction form
    1,163.66/1,606.52 = 771.22/x
  3. Step 3: Cross multiply
    1,163.66x = 1,606.52 × 771.22
  4. Step 4: Simplify right side
    1,163.66x = 1,238,968.47
  5. Step 5: Solve for x
    x = 1,238,968.47/1,163.66
  6. Step 6: Final answer
    x = 1,064.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.