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Finding the Fourth Proportional to 694.13, 957.89 and 383.63

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Solution

The fourth proportional to 694.13, 957.89 and 383.63 is: 529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.13 : 957.89 = 383.63 : x
  2. Step 2: Convert to fraction form
    694.13/957.89 = 383.63/x
  3. Step 3: Cross multiply
    694.13x = 957.89 × 383.63
  4. Step 4: Simplify right side
    694.13x = 367,471.51
  5. Step 5: Solve for x
    x = 367,471.51/694.13
  6. Step 6: Final answer
    x = 529.40

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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.