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Finding the Fourth Proportional to 1,002.75, 1,501.93 and 827.45

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Solution

The fourth proportional to 1,002.75, 1,501.93 and 827.45 is: 1,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.75 : 1,501.93 = 827.45 : x
  2. Step 2: Convert to fraction form
    1,002.75/1,501.93 = 827.45/x
  3. Step 3: Cross multiply
    1,002.75x = 1,501.93 × 827.45
  4. Step 4: Simplify right side
    1,002.75x = 1,242,771.98
  5. Step 5: Solve for x
    x = 1,242,771.98/1,002.75
  6. Step 6: Final answer
    x = 1,239.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.