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Finding the Fourth Proportional to 815.34, 1,125.16 and 461.26

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Solution

The fourth proportional to 815.34, 1,125.16 and 461.26 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.34 : 1,125.16 = 461.26 : x
  2. Step 2: Convert to fraction form
    815.34/1,125.16 = 461.26/x
  3. Step 3: Cross multiply
    815.34x = 1,125.16 × 461.26
  4. Step 4: Simplify right side
    815.34x = 518,988.75
  5. Step 5: Solve for x
    x = 518,988.75/815.34
  6. Step 6: Final answer
    x = 636.53

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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.