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Finding the Fourth Proportional to 1,604.60, 2,406.47 and 564.29

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Solution

The fourth proportional to 1,604.60, 2,406.47 and 564.29 is: 846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.60 : 2,406.47 = 564.29 : x
  2. Step 2: Convert to fraction form
    1,604.60/2,406.47 = 564.29/x
  3. Step 3: Cross multiply
    1,604.60x = 2,406.47 × 564.29
  4. Step 4: Simplify right side
    1,604.60x = 1,357,932.10
  5. Step 5: Solve for x
    x = 1,357,932.10/1,604.60
  6. Step 6: Final answer
    x = 846.28

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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.