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Finding the Fourth Proportional to 1,568.13, 2,163.99 and 904.95

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Solution

The fourth proportional to 1,568.13, 2,163.99 and 904.95 is: 1,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.13 : 2,163.99 = 904.95 : x
  2. Step 2: Convert to fraction form
    1,568.13/2,163.99 = 904.95/x
  3. Step 3: Cross multiply
    1,568.13x = 2,163.99 × 904.95
  4. Step 4: Simplify right side
    1,568.13x = 1,958,302.75
  5. Step 5: Solve for x
    x = 1,958,302.75/1,568.13
  6. Step 6: Final answer
    x = 1,248.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.