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Finding the Fourth Proportional to 729.27, 1,004.69 and 507.84

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Solution

The fourth proportional to 729.27, 1,004.69 and 507.84 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.27 : 1,004.69 = 507.84 : x
  2. Step 2: Convert to fraction form
    729.27/1,004.69 = 507.84/x
  3. Step 3: Cross multiply
    729.27x = 1,004.69 × 507.84
  4. Step 4: Simplify right side
    729.27x = 510,219.23
  5. Step 5: Solve for x
    x = 510,219.23/729.27
  6. Step 6: Final answer
    x = 699.63

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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.