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Finding the Fourth Proportional to 989.42, 1,480.61 and 712.06

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Solution

The fourth proportional to 989.42, 1,480.61 and 712.06 is: 1,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.42 : 1,480.61 = 712.06 : x
  2. Step 2: Convert to fraction form
    989.42/1,480.61 = 712.06/x
  3. Step 3: Cross multiply
    989.42x = 1,480.61 × 712.06
  4. Step 4: Simplify right side
    989.42x = 1,054,281.24
  5. Step 5: Solve for x
    x = 1,054,281.24/989.42
  6. Step 6: Final answer
    x = 1,065.56

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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.