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Finding the Fourth Proportional to 694.16, 956.40 and 546.56

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Solution

The fourth proportional to 694.16, 956.40 and 546.56 is: 753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 956.40 = 546.56 : x
  2. Step 2: Convert to fraction form
    694.16/956.40 = 546.56/x
  3. Step 3: Cross multiply
    694.16x = 956.40 × 546.56
  4. Step 4: Simplify right side
    694.16x = 522,729.98
  5. Step 5: Solve for x
    x = 522,729.98/694.16
  6. Step 6: Final answer
    x = 753.04

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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.