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Finding the Fourth Proportional to 741.65, 1,023.91 and 659.63

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Solution

The fourth proportional to 741.65, 1,023.91 and 659.63 is: 910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.65 : 1,023.91 = 659.63 : x
  2. Step 2: Convert to fraction form
    741.65/1,023.91 = 659.63/x
  3. Step 3: Cross multiply
    741.65x = 1,023.91 × 659.63
  4. Step 4: Simplify right side
    741.65x = 675,401.75
  5. Step 5: Solve for x
    x = 675,401.75/741.65
  6. Step 6: Final answer
    x = 910.67

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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.