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Finding the Fourth Proportional to 646.89, 886.89 and 635.19

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Solution

The fourth proportional to 646.89, 886.89 and 635.19 is: 870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 886.89 = 635.19 : x
  2. Step 2: Convert to fraction form
    646.89/886.89 = 635.19/x
  3. Step 3: Cross multiply
    646.89x = 886.89 × 635.19
  4. Step 4: Simplify right side
    646.89x = 563,343.66
  5. Step 5: Solve for x
    x = 563,343.66/646.89
  6. Step 6: Final answer
    x = 870.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.