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Finding the Fourth Proportional to 815, 1,125.06 and 535.64

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Solution

The fourth proportional to 815, 1,125.06 and 535.64 is: 739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815 : 1,125.06 = 535.64 : x
  2. Step 2: Convert to fraction form
    815/1,125.06 = 535.64/x
  3. Step 3: Cross multiply
    815x = 1,125.06 × 535.64
  4. Step 4: Simplify right side
    815x = 602,627.14
  5. Step 5: Solve for x
    x = 602,627.14/815
  6. Step 6: Final answer
    x = 739.42

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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.