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Finding the Fourth Proportional to 699.23, 964.10 and 558.90

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Solution

The fourth proportional to 699.23, 964.10 and 558.90 is: 770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 964.10 = 558.90 : x
  2. Step 2: Convert to fraction form
    699.23/964.10 = 558.90/x
  3. Step 3: Cross multiply
    699.23x = 964.10 × 558.90
  4. Step 4: Simplify right side
    699.23x = 538,836.89
  5. Step 5: Solve for x
    x = 538,836.89/699.23
  6. Step 6: Final answer
    x = 770.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.