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Finding the Fourth Proportional to 947.98, 1,421.37 and 460.54

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Solution

The fourth proportional to 947.98, 1,421.37 and 460.54 is: 690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.98 : 1,421.37 = 460.54 : x
  2. Step 2: Convert to fraction form
    947.98/1,421.37 = 460.54/x
  3. Step 3: Cross multiply
    947.98x = 1,421.37 × 460.54
  4. Step 4: Simplify right side
    947.98x = 654,597.74
  5. Step 5: Solve for x
    x = 654,597.74/947.98
  6. Step 6: Final answer
    x = 690.52

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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.