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Finding the Fourth Proportional to 699.56, 965.89 and 503.13

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Solution

The fourth proportional to 699.56, 965.89 and 503.13 is: 694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 965.89 = 503.13 : x
  2. Step 2: Convert to fraction form
    699.56/965.89 = 503.13/x
  3. Step 3: Cross multiply
    699.56x = 965.89 × 503.13
  4. Step 4: Simplify right side
    699.56x = 485,968.24
  5. Step 5: Solve for x
    x = 485,968.24/699.56
  6. Step 6: Final answer
    x = 694.68

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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.