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Finding the Fourth Proportional to 1,193.47, 1,789.43 and 500.58

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Solution

The fourth proportional to 1,193.47, 1,789.43 and 500.58 is: 750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.47 : 1,789.43 = 500.58 : x
  2. Step 2: Convert to fraction form
    1,193.47/1,789.43 = 500.58/x
  3. Step 3: Cross multiply
    1,193.47x = 1,789.43 × 500.58
  4. Step 4: Simplify right side
    1,193.47x = 895,750.37
  5. Step 5: Solve for x
    x = 895,750.37/1,193.47
  6. Step 6: Final answer
    x = 750.54

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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.