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Finding the Fourth Proportional to 744.49, 1,028.17 and 509.52

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Solution

The fourth proportional to 744.49, 1,028.17 and 509.52 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.49 : 1,028.17 = 509.52 : x
  2. Step 2: Convert to fraction form
    744.49/1,028.17 = 509.52/x
  3. Step 3: Cross multiply
    744.49x = 1,028.17 × 509.52
  4. Step 4: Simplify right side
    744.49x = 523,873.18
  5. Step 5: Solve for x
    x = 523,873.18/744.49
  6. Step 6: Final answer
    x = 703.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.