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Finding the Fourth Proportional to 733.40, 1,012.14 and 438.69

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Solution

The fourth proportional to 733.40, 1,012.14 and 438.69 is: 605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,012.14 = 438.69 : x
  2. Step 2: Convert to fraction form
    733.40/1,012.14 = 438.69/x
  3. Step 3: Cross multiply
    733.40x = 1,012.14 × 438.69
  4. Step 4: Simplify right side
    733.40x = 444,015.70
  5. Step 5: Solve for x
    x = 444,015.70/733.40
  6. Step 6: Final answer
    x = 605.42

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Double scale
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1.5x scale

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.