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Finding the Fourth Proportional to 1,413, 1,949.78 and 823.52

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Solution

The fourth proportional to 1,413, 1,949.78 and 823.52 is: 1,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413 : 1,949.78 = 823.52 : x
  2. Step 2: Convert to fraction form
    1,413/1,949.78 = 823.52/x
  3. Step 3: Cross multiply
    1,413x = 1,949.78 × 823.52
  4. Step 4: Simplify right side
    1,413x = 1,605,668.96
  5. Step 5: Solve for x
    x = 1,605,668.96/1,413
  6. Step 6: Final answer
    x = 1,136.35

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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.