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Finding the Fourth Proportional to 928.14, 1,384.64 and 855.24

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Solution

The fourth proportional to 928.14, 1,384.64 and 855.24 is: 1,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.14 : 1,384.64 = 855.24 : x
  2. Step 2: Convert to fraction form
    928.14/1,384.64 = 855.24/x
  3. Step 3: Cross multiply
    928.14x = 1,384.64 × 855.24
  4. Step 4: Simplify right side
    928.14x = 1,184,195.24
  5. Step 5: Solve for x
    x = 1,184,195.24/928.14
  6. Step 6: Final answer
    x = 1,275.88

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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.