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Finding the Fourth Proportional to 1,339.19, 1,846.68 and 967.94

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Solution

The fourth proportional to 1,339.19, 1,846.68 and 967.94 is: 1,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.19 : 1,846.68 = 967.94 : x
  2. Step 2: Convert to fraction form
    1,339.19/1,846.68 = 967.94/x
  3. Step 3: Cross multiply
    1,339.19x = 1,846.68 × 967.94
  4. Step 4: Simplify right side
    1,339.19x = 1,787,466.21
  5. Step 5: Solve for x
    x = 1,787,466.21/1,339.19
  6. Step 6: Final answer
    x = 1,334.74

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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.