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Finding the Fourth Proportional to 1,604, 2,406.26 and 564.28

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Solution

The fourth proportional to 1,604, 2,406.26 and 564.28 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604 : 2,406.26 = 564.28 : x
  2. Step 2: Convert to fraction form
    1,604/2,406.26 = 564.28/x
  3. Step 3: Cross multiply
    1,604x = 2,406.26 × 564.28
  4. Step 4: Simplify right side
    1,604x = 1,357,804.39
  5. Step 5: Solve for x
    x = 1,357,804.39/1,604
  6. Step 6: Final answer
    x = 846.51

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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.