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Finding the Fourth Proportional to 684.72, 1,021.26 and 641.52

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Solution

The fourth proportional to 684.72, 1,021.26 and 641.52 is: 956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 1,021.26 = 641.52 : x
  2. Step 2: Convert to fraction form
    684.72/1,021.26 = 641.52/x
  3. Step 3: Cross multiply
    684.72x = 1,021.26 × 641.52
  4. Step 4: Simplify right side
    684.72x = 655,158.72
  5. Step 5: Solve for x
    x = 655,158.72/684.72
  6. Step 6: Final answer
    x = 956.83

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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.