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Finding the Fourth Proportional to 1,400.72, 2,102.76 and 824

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Solution

The fourth proportional to 1,400.72, 2,102.76 and 824 is: 1,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.72 : 2,102.76 = 824 : x
  2. Step 2: Convert to fraction form
    1,400.72/2,102.76 = 824/x
  3. Step 3: Cross multiply
    1,400.72x = 2,102.76 × 824
  4. Step 4: Simplify right side
    1,400.72x = 1,732,674.24
  5. Step 5: Solve for x
    x = 1,732,674.24/1,400.72
  6. Step 6: Final answer
    x = 1,236.99

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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.