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Finding the Fourth Proportional to 948.11, 1,420.27 and 459.68

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Solution

The fourth proportional to 948.11, 1,420.27 and 459.68 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.11 : 1,420.27 = 459.68 : x
  2. Step 2: Convert to fraction form
    948.11/1,420.27 = 459.68/x
  3. Step 3: Cross multiply
    948.11x = 1,420.27 × 459.68
  4. Step 4: Simplify right side
    948.11x = 652,861.46
  5. Step 5: Solve for x
    x = 652,861.46/948.11
  6. Step 6: Final answer
    x = 688.60

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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.