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Finding the Fourth Proportional to 927.50, 1,389.54 and 464.75

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Solution

The fourth proportional to 927.50, 1,389.54 and 464.75 is: 696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.50 : 1,389.54 = 464.75 : x
  2. Step 2: Convert to fraction form
    927.50/1,389.54 = 464.75/x
  3. Step 3: Cross multiply
    927.50x = 1,389.54 × 464.75
  4. Step 4: Simplify right side
    927.50x = 645,788.72
  5. Step 5: Solve for x
    x = 645,788.72/927.50
  6. Step 6: Final answer
    x = 696.27

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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.