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Finding the Fourth Proportional to 1,239.46, 1,859.37 and 509.11

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Solution

The fourth proportional to 1,239.46, 1,859.37 and 509.11 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.46 : 1,859.37 = 509.11 : x
  2. Step 2: Convert to fraction form
    1,239.46/1,859.37 = 509.11/x
  3. Step 3: Cross multiply
    1,239.46x = 1,859.37 × 509.11
  4. Step 4: Simplify right side
    1,239.46x = 946,623.86
  5. Step 5: Solve for x
    x = 946,623.86/1,239.46
  6. Step 6: Final answer
    x = 763.74

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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.