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Finding the Fourth Proportional to 772.05, 1,064.77 and 476.80

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Solution

The fourth proportional to 772.05, 1,064.77 and 476.80 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.05 : 1,064.77 = 476.80 : x
  2. Step 2: Convert to fraction form
    772.05/1,064.77 = 476.80/x
  3. Step 3: Cross multiply
    772.05x = 1,064.77 × 476.80
  4. Step 4: Simplify right side
    772.05x = 507,682.34
  5. Step 5: Solve for x
    x = 507,682.34/772.05
  6. Step 6: Final answer
    x = 657.58

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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.