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Finding the Fourth Proportional to 1,712.55, 2,568.84 and 414.03

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Solution

The fourth proportional to 1,712.55, 2,568.84 and 414.03 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.55 : 2,568.84 = 414.03 : x
  2. Step 2: Convert to fraction form
    1,712.55/2,568.84 = 414.03/x
  3. Step 3: Cross multiply
    1,712.55x = 2,568.84 × 414.03
  4. Step 4: Simplify right side
    1,712.55x = 1,063,576.83
  5. Step 5: Solve for x
    x = 1,063,576.83/1,712.55
  6. Step 6: Final answer
    x = 621.05

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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.