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Finding the Fourth Proportional to 694.08, 957.74 and 589.59

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Solution

The fourth proportional to 694.08, 957.74 and 589.59 is: 813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.08 : 957.74 = 589.59 : x
  2. Step 2: Convert to fraction form
    694.08/957.74 = 589.59/x
  3. Step 3: Cross multiply
    694.08x = 957.74 × 589.59
  4. Step 4: Simplify right side
    694.08x = 564,670.98
  5. Step 5: Solve for x
    x = 564,670.98/694.08
  6. Step 6: Final answer
    x = 813.55

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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.