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Finding the Fourth Proportional to 1,604.24, 2,406 and 508.34

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Solution

The fourth proportional to 1,604.24, 2,406 and 508.34 is: 762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.24 : 2,406 = 508.34 : x
  2. Step 2: Convert to fraction form
    1,604.24/2,406 = 508.34/x
  3. Step 3: Cross multiply
    1,604.24x = 2,406 × 508.34
  4. Step 4: Simplify right side
    1,604.24x = 1,223,054.01
  5. Step 5: Solve for x
    x = 1,223,054.01/1,604.24
  6. Step 6: Final answer
    x = 762.39

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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.