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Finding the Fourth Proportional to 694.88, 957.57 and 458.56

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Solution

The fourth proportional to 694.88, 957.57 and 458.56 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.88 : 957.57 = 458.56 : x
  2. Step 2: Convert to fraction form
    694.88/957.57 = 458.56/x
  3. Step 3: Cross multiply
    694.88x = 957.57 × 458.56
  4. Step 4: Simplify right side
    694.88x = 439,105.36
  5. Step 5: Solve for x
    x = 439,105.36/694.88
  6. Step 6: Final answer
    x = 631.92

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1.5x scale

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.