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Finding the Fourth Proportional to 1,604.31, 2,406.63 and 508.38

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Solution

The fourth proportional to 1,604.31, 2,406.63 and 508.38 is: 762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.31 : 2,406.63 = 508.38 : x
  2. Step 2: Convert to fraction form
    1,604.31/2,406.63 = 508.38/x
  3. Step 3: Cross multiply
    1,604.31x = 2,406.63 × 508.38
  4. Step 4: Simplify right side
    1,604.31x = 1,223,482.56
  5. Step 5: Solve for x
    x = 1,223,482.56/1,604.31
  6. Step 6: Final answer
    x = 762.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.