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Finding the Fourth Proportional to 1,604.85, 2,407.34 and 509.19

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Solution

The fourth proportional to 1,604.85, 2,407.34 and 509.19 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.85 : 2,407.34 = 509.19 : x
  2. Step 2: Convert to fraction form
    1,604.85/2,407.34 = 509.19/x
  3. Step 3: Cross multiply
    1,604.85x = 2,407.34 × 509.19
  4. Step 4: Simplify right side
    1,604.85x = 1,225,793.45
  5. Step 5: Solve for x
    x = 1,225,793.45/1,604.85
  6. Step 6: Final answer
    x = 763.81

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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.