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Finding the Fourth Proportional to 1,076.77, 1,614.86 and 296.58

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Solution

The fourth proportional to 1,076.77, 1,614.86 and 296.58 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.77 : 1,614.86 = 296.58 : x
  2. Step 2: Convert to fraction form
    1,076.77/1,614.86 = 296.58/x
  3. Step 3: Cross multiply
    1,076.77x = 1,614.86 × 296.58
  4. Step 4: Simplify right side
    1,076.77x = 478,940.86
  5. Step 5: Solve for x
    x = 478,940.86/1,076.77
  6. Step 6: Final answer
    x = 444.79

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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.