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Finding the Fourth Proportional to 794.49, 1,096.69 and 646.87

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Solution

The fourth proportional to 794.49, 1,096.69 and 646.87 is: 892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.49 : 1,096.69 = 646.87 : x
  2. Step 2: Convert to fraction form
    794.49/1,096.69 = 646.87/x
  3. Step 3: Cross multiply
    794.49x = 1,096.69 × 646.87
  4. Step 4: Simplify right side
    794.49x = 709,411.50
  5. Step 5: Solve for x
    x = 709,411.50/794.49
  6. Step 6: Final answer
    x = 892.91

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Why These Related Problems?

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