Home / 1,159.08-1,738.53-509.64

Finding the Fourth Proportional to 1,159.08, 1,738.53 and 509.64

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Solution

The fourth proportional to 1,159.08, 1,738.53 and 509.64 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.08 : 1,738.53 = 509.64 : x
  2. Step 2: Convert to fraction form
    1,159.08/1,738.53 = 509.64/x
  3. Step 3: Cross multiply
    1,159.08x = 1,738.53 × 509.64
  4. Step 4: Simplify right side
    1,159.08x = 886,024.43
  5. Step 5: Solve for x
    x = 886,024.43/1,159.08
  6. Step 6: Final answer
    x = 764.42

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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.