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Finding the Fourth Proportional to 1,568.49, 2,352.39 and 643.15

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Solution

The fourth proportional to 1,568.49, 2,352.39 and 643.15 is: 964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.49 : 2,352.39 = 643.15 : x
  2. Step 2: Convert to fraction form
    1,568.49/2,352.39 = 643.15/x
  3. Step 3: Cross multiply
    1,568.49x = 2,352.39 × 643.15
  4. Step 4: Simplify right side
    1,568.49x = 1,512,939.63
  5. Step 5: Solve for x
    x = 1,512,939.63/1,568.49
  6. Step 6: Final answer
    x = 964.59

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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.