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Finding the Fourth Proportional to 694.30, 1,041.45 and 637.60

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Solution

The fourth proportional to 694.30, 1,041.45 and 637.60 is: 956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.30 : 1,041.45 = 637.60 : x
  2. Step 2: Convert to fraction form
    694.30/1,041.45 = 637.60/x
  3. Step 3: Cross multiply
    694.30x = 1,041.45 × 637.60
  4. Step 4: Simplify right side
    694.30x = 664,028.52
  5. Step 5: Solve for x
    x = 664,028.52/694.30
  6. Step 6: Final answer
    x = 956.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.