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Finding the Fourth Proportional to 949.04, 1,309.66 and 523.67

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Solution

The fourth proportional to 949.04, 1,309.66 and 523.67 is: 722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.04 : 1,309.66 = 523.67 : x
  2. Step 2: Convert to fraction form
    949.04/1,309.66 = 523.67/x
  3. Step 3: Cross multiply
    949.04x = 1,309.66 × 523.67
  4. Step 4: Simplify right side
    949.04x = 685,823.99
  5. Step 5: Solve for x
    x = 685,823.99/949.04
  6. Step 6: Final answer
    x = 722.65

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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.