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Finding the Fourth Proportional to 815.74, 1,126.08 and 535.98

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Solution

The fourth proportional to 815.74, 1,126.08 and 535.98 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.74 : 1,126.08 = 535.98 : x
  2. Step 2: Convert to fraction form
    815.74/1,126.08 = 535.98/x
  3. Step 3: Cross multiply
    815.74x = 1,126.08 × 535.98
  4. Step 4: Simplify right side
    815.74x = 603,556.36
  5. Step 5: Solve for x
    x = 603,556.36/815.74
  6. Step 6: Final answer
    x = 739.89

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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.