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Finding the Fourth Proportional to 1,742.99, 2,614.33 and 510.33

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Solution

The fourth proportional to 1,742.99, 2,614.33 and 510.33 is: 765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.99 : 2,614.33 = 510.33 : x
  2. Step 2: Convert to fraction form
    1,742.99/2,614.33 = 510.33/x
  3. Step 3: Cross multiply
    1,742.99x = 2,614.33 × 510.33
  4. Step 4: Simplify right side
    1,742.99x = 1,334,156.54
  5. Step 5: Solve for x
    x = 1,334,156.54/1,742.99
  6. Step 6: Final answer
    x = 765.44

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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.