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Finding the Fourth Proportional to 1,604.86, 2,407.29 and 509.33

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Solution

The fourth proportional to 1,604.86, 2,407.29 and 509.33 is: 764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.86 : 2,407.29 = 509.33 : x
  2. Step 2: Convert to fraction form
    1,604.86/2,407.29 = 509.33/x
  3. Step 3: Cross multiply
    1,604.86x = 2,407.29 × 509.33
  4. Step 4: Simplify right side
    1,604.86x = 1,226,105.02
  5. Step 5: Solve for x
    x = 1,226,105.02/1,604.86
  6. Step 6: Final answer
    x = 764.00

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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.