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Finding the Fourth Proportional to 1,193.29, 1,788.64 and 499.43

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Solution

The fourth proportional to 1,193.29, 1,788.64 and 499.43 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.29 : 1,788.64 = 499.43 : x
  2. Step 2: Convert to fraction form
    1,193.29/1,788.64 = 499.43/x
  3. Step 3: Cross multiply
    1,193.29x = 1,788.64 × 499.43
  4. Step 4: Simplify right side
    1,193.29x = 893,303.70
  5. Step 5: Solve for x
    x = 893,303.70/1,193.29
  6. Step 6: Final answer
    x = 748.61

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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.