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Finding the Fourth Proportional to 1,192.31, 1,788.02 and 412.11

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Solution

The fourth proportional to 1,192.31, 1,788.02 and 412.11 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.31 : 1,788.02 = 412.11 : x
  2. Step 2: Convert to fraction form
    1,192.31/1,788.02 = 412.11/x
  3. Step 3: Cross multiply
    1,192.31x = 1,788.02 × 412.11
  4. Step 4: Simplify right side
    1,192.31x = 736,862.73
  5. Step 5: Solve for x
    x = 736,862.73/1,192.31
  6. Step 6: Final answer
    x = 618.01

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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.