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Finding the Fourth Proportional to 1,159.36, 1,738.56 and 509.68

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Solution

The fourth proportional to 1,159.36, 1,738.56 and 509.68 is: 764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.36 : 1,738.56 = 509.68 : x
  2. Step 2: Convert to fraction form
    1,159.36/1,738.56 = 509.68/x
  3. Step 3: Cross multiply
    1,159.36x = 1,738.56 × 509.68
  4. Step 4: Simplify right side
    1,159.36x = 886,109.26
  5. Step 5: Solve for x
    x = 886,109.26/1,159.36
  6. Step 6: Final answer
    x = 764.31

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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.