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Finding the Fourth Proportional to 1,568.59, 2,352.92 and 414.34

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Solution

The fourth proportional to 1,568.59, 2,352.92 and 414.34 is: 621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.59 : 2,352.92 = 414.34 : x
  2. Step 2: Convert to fraction form
    1,568.59/2,352.92 = 414.34/x
  3. Step 3: Cross multiply
    1,568.59x = 2,352.92 × 414.34
  4. Step 4: Simplify right side
    1,568.59x = 974,908.87
  5. Step 5: Solve for x
    x = 974,908.87/1,568.59
  6. Step 6: Final answer
    x = 621.52

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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.