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Finding the Fourth Proportional to 810.57, 1,118.57 and 461.25

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Solution

The fourth proportional to 810.57, 1,118.57 and 461.25 is: 636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.57 : 1,118.57 = 461.25 : x
  2. Step 2: Convert to fraction form
    810.57/1,118.57 = 461.25/x
  3. Step 3: Cross multiply
    810.57x = 1,118.57 × 461.25
  4. Step 4: Simplify right side
    810.57x = 515,938.11
  5. Step 5: Solve for x
    x = 515,938.11/810.57
  6. Step 6: Final answer
    x = 636.51

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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.