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Finding the Fourth Proportional to 928.83, 1,273.65 and 897.78

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Solution

The fourth proportional to 928.83, 1,273.65 and 897.78 is: 1,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.83 : 1,273.65 = 897.78 : x
  2. Step 2: Convert to fraction form
    928.83/1,273.65 = 897.78/x
  3. Step 3: Cross multiply
    928.83x = 1,273.65 × 897.78
  4. Step 4: Simplify right side
    928.83x = 1,143,457.50
  5. Step 5: Solve for x
    x = 1,143,457.50/928.83
  6. Step 6: Final answer
    x = 1,231.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.