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Finding the Fourth Proportional to 729.23, 1,005.86 and 504.77

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Solution

The fourth proportional to 729.23, 1,005.86 and 504.77 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.23 : 1,005.86 = 504.77 : x
  2. Step 2: Convert to fraction form
    729.23/1,005.86 = 504.77/x
  3. Step 3: Cross multiply
    729.23x = 1,005.86 × 504.77
  4. Step 4: Simplify right side
    729.23x = 507,727.95
  5. Step 5: Solve for x
    x = 507,727.95/729.23
  6. Step 6: Final answer
    x = 696.25

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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.