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Finding the Fourth Proportional to 1,568.54, 2,353.54 and 799.58

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Solution

The fourth proportional to 1,568.54, 2,353.54 and 799.58 is: 1,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.54 : 2,353.54 = 799.58 : x
  2. Step 2: Convert to fraction form
    1,568.54/2,353.54 = 799.58/x
  3. Step 3: Cross multiply
    1,568.54x = 2,353.54 × 799.58
  4. Step 4: Simplify right side
    1,568.54x = 1,881,843.51
  5. Step 5: Solve for x
    x = 1,881,843.51/1,568.54
  6. Step 6: Final answer
    x = 1,199.74

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1.5x scale

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.