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Finding the Fourth Proportional to 1,742.28, 2,613 and 509.72

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Solution

The fourth proportional to 1,742.28, 2,613 and 509.72 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.28 : 2,613 = 509.72 : x
  2. Step 2: Convert to fraction form
    1,742.28/2,613 = 509.72/x
  3. Step 3: Cross multiply
    1,742.28x = 2,613 × 509.72
  4. Step 4: Simplify right side
    1,742.28x = 1,331,898.36
  5. Step 5: Solve for x
    x = 1,331,898.36/1,742.28
  6. Step 6: Final answer
    x = 764.46

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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.