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Finding the Fourth Proportional to 1,000.44, 1,493.28 and 989.55

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Solution

The fourth proportional to 1,000.44, 1,493.28 and 989.55 is: 1,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.44 : 1,493.28 = 989.55 : x
  2. Step 2: Convert to fraction form
    1,000.44/1,493.28 = 989.55/x
  3. Step 3: Cross multiply
    1,000.44x = 1,493.28 × 989.55
  4. Step 4: Simplify right side
    1,000.44x = 1,477,675.22
  5. Step 5: Solve for x
    x = 1,477,675.22/1,000.44
  6. Step 6: Final answer
    x = 1,477.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.