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Finding the Fourth Proportional to 1,563.40, 2,344.42 and 626.06

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Solution

The fourth proportional to 1,563.40, 2,344.42 and 626.06 is: 938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.40 : 2,344.42 = 626.06 : x
  2. Step 2: Convert to fraction form
    1,563.40/2,344.42 = 626.06/x
  3. Step 3: Cross multiply
    1,563.40x = 2,344.42 × 626.06
  4. Step 4: Simplify right side
    1,563.40x = 1,467,750.71
  5. Step 5: Solve for x
    x = 1,467,750.71/1,563.40
  6. Step 6: Final answer
    x = 938.82

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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.