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Finding the Fourth Proportional to 945.80, 1,419 and 458.60

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Solution

The fourth proportional to 945.80, 1,419 and 458.60 is: 688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.80 : 1,419 = 458.60 : x
  2. Step 2: Convert to fraction form
    945.80/1,419 = 458.60/x
  3. Step 3: Cross multiply
    945.80x = 1,419 × 458.60
  4. Step 4: Simplify right side
    945.80x = 650,753.40
  5. Step 5: Solve for x
    x = 650,753.40/945.80
  6. Step 6: Final answer
    x = 688.05

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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.