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Finding the Fourth Proportional to 1,267.29, 1,900.53 and 536.49

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Solution

The fourth proportional to 1,267.29, 1,900.53 and 536.49 is: 804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.29 : 1,900.53 = 536.49 : x
  2. Step 2: Convert to fraction form
    1,267.29/1,900.53 = 536.49/x
  3. Step 3: Cross multiply
    1,267.29x = 1,900.53 × 536.49
  4. Step 4: Simplify right side
    1,267.29x = 1,019,615.34
  5. Step 5: Solve for x
    x = 1,019,615.34/1,267.29
  6. Step 6: Final answer
    x = 804.56

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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.