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Finding the Fourth Proportional to 696.69, 1,043.62 and 558.99

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Solution

The fourth proportional to 696.69, 1,043.62 and 558.99 is: 837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.69 : 1,043.62 = 558.99 : x
  2. Step 2: Convert to fraction form
    696.69/1,043.62 = 558.99/x
  3. Step 3: Cross multiply
    696.69x = 1,043.62 × 558.99
  4. Step 4: Simplify right side
    696.69x = 583,371.75
  5. Step 5: Solve for x
    x = 583,371.75/696.69
  6. Step 6: Final answer
    x = 837.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.