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Finding the Fourth Proportional to 1,394.58, 1,922.76 and 989.94

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Solution

The fourth proportional to 1,394.58, 1,922.76 and 989.94 is: 1,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.58 : 1,922.76 = 989.94 : x
  2. Step 2: Convert to fraction form
    1,394.58/1,922.76 = 989.94/x
  3. Step 3: Cross multiply
    1,394.58x = 1,922.76 × 989.94
  4. Step 4: Simplify right side
    1,394.58x = 1,903,417.03
  5. Step 5: Solve for x
    x = 1,903,417.03/1,394.58
  6. Step 6: Final answer
    x = 1,364.87

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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.