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Finding the Fourth Proportional to 947.50, 1,422.06 and 370.78

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Solution

The fourth proportional to 947.50, 1,422.06 and 370.78 is: 556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.50 : 1,422.06 = 370.78 : x
  2. Step 2: Convert to fraction form
    947.50/1,422.06 = 370.78/x
  3. Step 3: Cross multiply
    947.50x = 1,422.06 × 370.78
  4. Step 4: Simplify right side
    947.50x = 527,271.41
  5. Step 5: Solve for x
    x = 527,271.41/947.50
  6. Step 6: Final answer
    x = 556.49

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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.