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Finding the Fourth Proportional to 1,193.40, 1,788.03 and 645.96

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Solution

The fourth proportional to 1,193.40, 1,788.03 and 645.96 is: 967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.40 : 1,788.03 = 645.96 : x
  2. Step 2: Convert to fraction form
    1,193.40/1,788.03 = 645.96/x
  3. Step 3: Cross multiply
    1,193.40x = 1,788.03 × 645.96
  4. Step 4: Simplify right side
    1,193.40x = 1,154,995.86
  5. Step 5: Solve for x
    x = 1,154,995.86/1,193.40
  6. Step 6: Final answer
    x = 967.82

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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.