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Finding the Fourth Proportional to 1,192.79, 1,788.71 and 462.17

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Solution

The fourth proportional to 1,192.79, 1,788.71 and 462.17 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.79 : 1,788.71 = 462.17 : x
  2. Step 2: Convert to fraction form
    1,192.79/1,788.71 = 462.17/x
  3. Step 3: Cross multiply
    1,192.79x = 1,788.71 × 462.17
  4. Step 4: Simplify right side
    1,192.79x = 826,676.85
  5. Step 5: Solve for x
    x = 826,676.85/1,192.79
  6. Step 6: Final answer
    x = 693.06

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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.