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Finding the Fourth Proportional to 686.53, 948.97 and 632.04

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Solution

The fourth proportional to 686.53, 948.97 and 632.04 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 948.97 = 632.04 : x
  2. Step 2: Convert to fraction form
    686.53/948.97 = 632.04/x
  3. Step 3: Cross multiply
    686.53x = 948.97 × 632.04
  4. Step 4: Simplify right side
    686.53x = 599,782.65
  5. Step 5: Solve for x
    x = 599,782.65/686.53
  6. Step 6: Final answer
    x = 873.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.