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Finding the Fourth Proportional to 1,568.07, 2,351.84 and 690.75

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Solution

The fourth proportional to 1,568.07, 2,351.84 and 690.75 is: 1,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.07 : 2,351.84 = 690.75 : x
  2. Step 2: Convert to fraction form
    1,568.07/2,351.84 = 690.75/x
  3. Step 3: Cross multiply
    1,568.07x = 2,351.84 × 690.75
  4. Step 4: Simplify right side
    1,568.07x = 1,624,530.03
  5. Step 5: Solve for x
    x = 1,624,530.03/1,568.07
  6. Step 6: Final answer
    x = 1,036.01

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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.