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Finding the Fourth Proportional to 1,605.18, 2,406.57 and 630.54

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Solution

The fourth proportional to 1,605.18, 2,406.57 and 630.54 is: 945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.18 : 2,406.57 = 630.54 : x
  2. Step 2: Convert to fraction form
    1,605.18/2,406.57 = 630.54/x
  3. Step 3: Cross multiply
    1,605.18x = 2,406.57 × 630.54
  4. Step 4: Simplify right side
    1,605.18x = 1,517,438.65
  5. Step 5: Solve for x
    x = 1,517,438.65/1,605.18
  6. Step 6: Final answer
    x = 945.34

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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.