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Finding the Fourth Proportional to 694.94, 958.11 and 597.74

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Solution

The fourth proportional to 694.94, 958.11 and 597.74 is: 824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.94 : 958.11 = 597.74 : x
  2. Step 2: Convert to fraction form
    694.94/958.11 = 597.74/x
  3. Step 3: Cross multiply
    694.94x = 958.11 × 597.74
  4. Step 4: Simplify right side
    694.94x = 572,700.67
  5. Step 5: Solve for x
    x = 572,700.67/694.94
  6. Step 6: Final answer
    x = 824.10

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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.