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Finding the Fourth Proportional to 694.30, 1,036.06 and 632.98

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Solution

The fourth proportional to 694.30, 1,036.06 and 632.98 is: 944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.30 : 1,036.06 = 632.98 : x
  2. Step 2: Convert to fraction form
    694.30/1,036.06 = 632.98/x
  3. Step 3: Cross multiply
    694.30x = 1,036.06 × 632.98
  4. Step 4: Simplify right side
    694.30x = 655,805.26
  5. Step 5: Solve for x
    x = 655,805.26/694.30
  6. Step 6: Final answer
    x = 944.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.