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Finding the Fourth Proportional to 696.33, 1,040.66 and 558.74

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Solution

The fourth proportional to 696.33, 1,040.66 and 558.74 is: 835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.33 : 1,040.66 = 558.74 : x
  2. Step 2: Convert to fraction form
    696.33/1,040.66 = 558.74/x
  3. Step 3: Cross multiply
    696.33x = 1,040.66 × 558.74
  4. Step 4: Simplify right side
    696.33x = 581,450.37
  5. Step 5: Solve for x
    x = 581,450.37/696.33
  6. Step 6: Final answer
    x = 835.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.