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Finding the Fourth Proportional to 1,216.23, 1,823.73 and 631.14

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Solution

The fourth proportional to 1,216.23, 1,823.73 and 631.14 is: 946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.23 : 1,823.73 = 631.14 : x
  2. Step 2: Convert to fraction form
    1,216.23/1,823.73 = 631.14/x
  3. Step 3: Cross multiply
    1,216.23x = 1,823.73 × 631.14
  4. Step 4: Simplify right side
    1,216.23x = 1,151,028.95
  5. Step 5: Solve for x
    x = 1,151,028.95/1,216.23
  6. Step 6: Final answer
    x = 946.39

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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.