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Finding the Fourth Proportional to 947.37, 1,421.07 and 460.32

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Solution

The fourth proportional to 947.37, 1,421.07 and 460.32 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,421.07 = 460.32 : x
  2. Step 2: Convert to fraction form
    947.37/1,421.07 = 460.32/x
  3. Step 3: Cross multiply
    947.37x = 1,421.07 × 460.32
  4. Step 4: Simplify right side
    947.37x = 654,146.94
  5. Step 5: Solve for x
    x = 654,146.94/947.37
  6. Step 6: Final answer
    x = 690.49

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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.