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Finding the Fourth Proportional to 910.64, 1,366.37 and 494.30

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Solution

The fourth proportional to 910.64, 1,366.37 and 494.30 is: 741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.64 : 1,366.37 = 494.30 : x
  2. Step 2: Convert to fraction form
    910.64/1,366.37 = 494.30/x
  3. Step 3: Cross multiply
    910.64x = 1,366.37 × 494.30
  4. Step 4: Simplify right side
    910.64x = 675,396.69
  5. Step 5: Solve for x
    x = 675,396.69/910.64
  6. Step 6: Final answer
    x = 741.67

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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.