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Finding the Fourth Proportional to 694.88, 958.64 and 473.75

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Solution

The fourth proportional to 694.88, 958.64 and 473.75 is: 653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.88 : 958.64 = 473.75 : x
  2. Step 2: Convert to fraction form
    694.88/958.64 = 473.75/x
  3. Step 3: Cross multiply
    694.88x = 958.64 × 473.75
  4. Step 4: Simplify right side
    694.88x = 454,152.13
  5. Step 5: Solve for x
    x = 454,152.13/694.88
  6. Step 6: Final answer
    x = 653.57

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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.