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Finding the Fourth Proportional to 1,095.79, 1,642.37 and 509.99

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Solution

The fourth proportional to 1,095.79, 1,642.37 and 509.99 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.79 : 1,642.37 = 509.99 : x
  2. Step 2: Convert to fraction form
    1,095.79/1,642.37 = 509.99/x
  3. Step 3: Cross multiply
    1,095.79x = 1,642.37 × 509.99
  4. Step 4: Simplify right side
    1,095.79x = 837,589.73
  5. Step 5: Solve for x
    x = 837,589.73/1,095.79
  6. Step 6: Final answer
    x = 764.37

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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.