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Finding the Fourth Proportional to 1,604.28, 2,406.42 and 564.27

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Solution

The fourth proportional to 1,604.28, 2,406.42 and 564.27 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.28 : 2,406.42 = 564.27 : x
  2. Step 2: Convert to fraction form
    1,604.28/2,406.42 = 564.27/x
  3. Step 3: Cross multiply
    1,604.28x = 2,406.42 × 564.27
  4. Step 4: Simplify right side
    1,604.28x = 1,357,870.61
  5. Step 5: Solve for x
    x = 1,357,870.61/1,604.28
  6. Step 6: Final answer
    x = 846.41

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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.