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Finding the Fourth Proportional to 772.97, 1,066.37 and 507.30

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Solution

The fourth proportional to 772.97, 1,066.37 and 507.30 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.97 : 1,066.37 = 507.30 : x
  2. Step 2: Convert to fraction form
    772.97/1,066.37 = 507.30/x
  3. Step 3: Cross multiply
    772.97x = 1,066.37 × 507.30
  4. Step 4: Simplify right side
    772.97x = 540,966.96
  5. Step 5: Solve for x
    x = 540,966.96/772.97
  6. Step 6: Final answer
    x = 699.86

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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.