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Finding the Fourth Proportional to 1,568.26, 2,352.42 and 414.02

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Solution

The fourth proportional to 1,568.26, 2,352.42 and 414.02 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.26 : 2,352.42 = 414.02 : x
  2. Step 2: Convert to fraction form
    1,568.26/2,352.42 = 414.02/x
  3. Step 3: Cross multiply
    1,568.26x = 2,352.42 × 414.02
  4. Step 4: Simplify right side
    1,568.26x = 973,948.93
  5. Step 5: Solve for x
    x = 973,948.93/1,568.26
  6. Step 6: Final answer
    x = 621.04

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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.