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Finding the Fourth Proportional to 811.62, 1,118.61 and 646.38

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Solution

The fourth proportional to 811.62, 1,118.61 and 646.38 is: 890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,118.61 = 646.38 : x
  2. Step 2: Convert to fraction form
    811.62/1,118.61 = 646.38/x
  3. Step 3: Cross multiply
    811.62x = 1,118.61 × 646.38
  4. Step 4: Simplify right side
    811.62x = 723,047.13
  5. Step 5: Solve for x
    x = 723,047.13/811.62
  6. Step 6: Final answer
    x = 890.87

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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.