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Finding the Fourth Proportional to 1,568.35, 2,351.67 and 630.46

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Solution

The fourth proportional to 1,568.35, 2,351.67 and 630.46 is: 945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.35 : 2,351.67 = 630.46 : x
  2. Step 2: Convert to fraction form
    1,568.35/2,351.67 = 630.46/x
  3. Step 3: Cross multiply
    1,568.35x = 2,351.67 × 630.46
  4. Step 4: Simplify right side
    1,568.35x = 1,482,633.87
  5. Step 5: Solve for x
    x = 1,482,633.87/1,568.35
  6. Step 6: Final answer
    x = 945.35

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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.