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Finding the Fourth Proportional to 1,239.76, 1,859.16 and 509.14

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Solution

The fourth proportional to 1,239.76, 1,859.16 and 509.14 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.76 : 1,859.16 = 509.14 : x
  2. Step 2: Convert to fraction form
    1,239.76/1,859.16 = 509.14/x
  3. Step 3: Cross multiply
    1,239.76x = 1,859.16 × 509.14
  4. Step 4: Simplify right side
    1,239.76x = 946,572.72
  5. Step 5: Solve for x
    x = 946,572.72/1,239.76
  6. Step 6: Final answer
    x = 763.51

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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.