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Finding the Fourth Proportional to 928.05, 1,381.47 and 914.21

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Solution

The fourth proportional to 928.05, 1,381.47 and 914.21 is: 1,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.05 : 1,381.47 = 914.21 : x
  2. Step 2: Convert to fraction form
    928.05/1,381.47 = 914.21/x
  3. Step 3: Cross multiply
    928.05x = 1,381.47 × 914.21
  4. Step 4: Simplify right side
    928.05x = 1,262,946.78
  5. Step 5: Solve for x
    x = 1,262,946.78/928.05
  6. Step 6: Final answer
    x = 1,360.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.