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Finding the Fourth Proportional to 1,604.70, 2,406.65 and 630.81

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Solution

The fourth proportional to 1,604.70, 2,406.65 and 630.81 is: 946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.70 : 2,406.65 = 630.81 : x
  2. Step 2: Convert to fraction form
    1,604.70/2,406.65 = 630.81/x
  3. Step 3: Cross multiply
    1,604.70x = 2,406.65 × 630.81
  4. Step 4: Simplify right side
    1,604.70x = 1,518,135.73
  5. Step 5: Solve for x
    x = 1,518,135.73/1,604.70
  6. Step 6: Final answer
    x = 946.06

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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.