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Finding the Fourth Proportional to 694.06, 956.70 and 546.46

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Solution

The fourth proportional to 694.06, 956.70 and 546.46 is: 753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.06 : 956.70 = 546.46 : x
  2. Step 2: Convert to fraction form
    694.06/956.70 = 546.46/x
  3. Step 3: Cross multiply
    694.06x = 956.70 × 546.46
  4. Step 4: Simplify right side
    694.06x = 522,798.28
  5. Step 5: Solve for x
    x = 522,798.28/694.06
  6. Step 6: Final answer
    x = 753.25

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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.