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Finding the Fourth Proportional to 1,604.26, 2,407.90 and 824.81

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Solution

The fourth proportional to 1,604.26, 2,407.90 and 824.81 is: 1,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.26 : 2,407.90 = 824.81 : x
  2. Step 2: Convert to fraction form
    1,604.26/2,407.90 = 824.81/x
  3. Step 3: Cross multiply
    1,604.26x = 2,407.90 × 824.81
  4. Step 4: Simplify right side
    1,604.26x = 1,986,045.90
  5. Step 5: Solve for x
    x = 1,986,045.90/1,604.26
  6. Step 6: Final answer
    x = 1,237.98

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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.