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Finding the Fourth Proportional to 947.60, 1,419.35 and 459.63

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Solution

The fourth proportional to 947.60, 1,419.35 and 459.63 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.60 : 1,419.35 = 459.63 : x
  2. Step 2: Convert to fraction form
    947.60/1,419.35 = 459.63/x
  3. Step 3: Cross multiply
    947.60x = 1,419.35 × 459.63
  4. Step 4: Simplify right side
    947.60x = 652,366.45
  5. Step 5: Solve for x
    x = 652,366.45/947.60
  6. Step 6: Final answer
    x = 688.44

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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.