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Finding the Fourth Proportional to 691.94, 1,039.53 and 638.48

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Solution

The fourth proportional to 691.94, 1,039.53 and 638.48 is: 959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.94 : 1,039.53 = 638.48 : x
  2. Step 2: Convert to fraction form
    691.94/1,039.53 = 638.48/x
  3. Step 3: Cross multiply
    691.94x = 1,039.53 × 638.48
  4. Step 4: Simplify right side
    691.94x = 663,719.11
  5. Step 5: Solve for x
    x = 663,719.11/691.94
  6. Step 6: Final answer
    x = 959.21

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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.