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Finding the Fourth Proportional to 947.08, 1,420.62 and 853.12

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Solution

The fourth proportional to 947.08, 1,420.62 and 853.12 is: 1,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.08 : 1,420.62 = 853.12 : x
  2. Step 2: Convert to fraction form
    947.08/1,420.62 = 853.12/x
  3. Step 3: Cross multiply
    947.08x = 1,420.62 × 853.12
  4. Step 4: Simplify right side
    947.08x = 1,211,959.33
  5. Step 5: Solve for x
    x = 1,211,959.33/947.08
  6. Step 6: Final answer
    x = 1,279.68

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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.