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Finding the Fourth Proportional to 772.12, 1,064.42 and 477.24

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Solution

The fourth proportional to 772.12, 1,064.42 and 477.24 is: 657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.12 : 1,064.42 = 477.24 : x
  2. Step 2: Convert to fraction form
    772.12/1,064.42 = 477.24/x
  3. Step 3: Cross multiply
    772.12x = 1,064.42 × 477.24
  4. Step 4: Simplify right side
    772.12x = 507,983.80
  5. Step 5: Solve for x
    x = 507,983.80/772.12
  6. Step 6: Final answer
    x = 657.91

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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.