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Finding the Fourth Proportional to 1,193.95, 1,647.61 and 662.86

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Solution

The fourth proportional to 1,193.95, 1,647.61 and 662.86 is: 914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.95 : 1,647.61 = 662.86 : x
  2. Step 2: Convert to fraction form
    1,193.95/1,647.61 = 662.86/x
  3. Step 3: Cross multiply
    1,193.95x = 1,647.61 × 662.86
  4. Step 4: Simplify right side
    1,193.95x = 1,092,134.76
  5. Step 5: Solve for x
    x = 1,092,134.76/1,193.95
  6. Step 6: Final answer
    x = 914.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.