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Finding the Fourth Proportional to 947.48, 1,420.44 and 460.28

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Solution

The fourth proportional to 947.48, 1,420.44 and 460.28 is: 690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.48 : 1,420.44 = 460.28 : x
  2. Step 2: Convert to fraction form
    947.48/1,420.44 = 460.28/x
  3. Step 3: Cross multiply
    947.48x = 1,420.44 × 460.28
  4. Step 4: Simplify right side
    947.48x = 653,800.12
  5. Step 5: Solve for x
    x = 653,800.12/947.48
  6. Step 6: Final answer
    x = 690.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.