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Finding the Fourth Proportional to 1,344.94, 2,017.37 and 420.46

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Solution

The fourth proportional to 1,344.94, 2,017.37 and 420.46 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.94 : 2,017.37 = 420.46 : x
  2. Step 2: Convert to fraction form
    1,344.94/2,017.37 = 420.46/x
  3. Step 3: Cross multiply
    1,344.94x = 2,017.37 × 420.46
  4. Step 4: Simplify right side
    1,344.94x = 848,219.40
  5. Step 5: Solve for x
    x = 848,219.40/1,344.94
  6. Step 6: Final answer
    x = 630.68

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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.