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Finding the Fourth Proportional to 936, 1,400.76 and 882.77

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Solution

The fourth proportional to 936, 1,400.76 and 882.77 is: 1,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    936 : 1,400.76 = 882.77 : x
  2. Step 2: Convert to fraction form
    936/1,400.76 = 882.77/x
  3. Step 3: Cross multiply
    936x = 1,400.76 × 882.77
  4. Step 4: Simplify right side
    936x = 1,236,541.90
  5. Step 5: Solve for x
    x = 1,236,541.90/936
  6. Step 6: Final answer
    x = 1,321.09

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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.