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Finding the Fourth Proportional to 815.72, 1,125.24 and 536

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Solution

The fourth proportional to 815.72, 1,125.24 and 536 is: 739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.72 : 1,125.24 = 536 : x
  2. Step 2: Convert to fraction form
    815.72/1,125.24 = 536/x
  3. Step 3: Cross multiply
    815.72x = 1,125.24 × 536
  4. Step 4: Simplify right side
    815.72x = 603,128.64
  5. Step 5: Solve for x
    x = 603,128.64/815.72
  6. Step 6: Final answer
    x = 739.38

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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.