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Finding the Fourth Proportional to 683.66, 947.79 and 646.72

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Solution

The fourth proportional to 683.66, 947.79 and 646.72 is: 896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.66 : 947.79 = 646.72 : x
  2. Step 2: Convert to fraction form
    683.66/947.79 = 646.72/x
  3. Step 3: Cross multiply
    683.66x = 947.79 × 646.72
  4. Step 4: Simplify right side
    683.66x = 612,952.38
  5. Step 5: Solve for x
    x = 612,952.38/683.66
  6. Step 6: Final answer
    x = 896.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.