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Finding the Fourth Proportional to 1,074.86, 1,612.19 and 294.94

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Solution

The fourth proportional to 1,074.86, 1,612.19 and 294.94 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.86 : 1,612.19 = 294.94 : x
  2. Step 2: Convert to fraction form
    1,074.86/1,612.19 = 294.94/x
  3. Step 3: Cross multiply
    1,074.86x = 1,612.19 × 294.94
  4. Step 4: Simplify right side
    1,074.86x = 475,493.81
  5. Step 5: Solve for x
    x = 475,493.81/1,074.86
  6. Step 6: Final answer
    x = 442.38

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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.