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Finding the Fourth Proportional to 694.64, 956.94 and 564.50

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Solution

The fourth proportional to 694.64, 956.94 and 564.50 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.64 : 956.94 = 564.50 : x
  2. Step 2: Convert to fraction form
    694.64/956.94 = 564.50/x
  3. Step 3: Cross multiply
    694.64x = 956.94 × 564.50
  4. Step 4: Simplify right side
    694.64x = 540,192.63
  5. Step 5: Solve for x
    x = 540,192.63/694.64
  6. Step 6: Final answer
    x = 777.66

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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.