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Finding the Fourth Proportional to 694.04, 1,036.43 and 653.54

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Solution

The fourth proportional to 694.04, 1,036.43 and 653.54 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.04 : 1,036.43 = 653.54 : x
  2. Step 2: Convert to fraction form
    694.04/1,036.43 = 653.54/x
  3. Step 3: Cross multiply
    694.04x = 1,036.43 × 653.54
  4. Step 4: Simplify right side
    694.04x = 677,342.46
  5. Step 5: Solve for x
    x = 677,342.46/694.04
  6. Step 6: Final answer
    x = 975.95

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