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Finding the Fourth Proportional to 1,316.20, 1,971.10 and 989.80

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Solution

The fourth proportional to 1,316.20, 1,971.10 and 989.80 is: 1,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.20 : 1,971.10 = 989.80 : x
  2. Step 2: Convert to fraction form
    1,316.20/1,971.10 = 989.80/x
  3. Step 3: Cross multiply
    1,316.20x = 1,971.10 × 989.80
  4. Step 4: Simplify right side
    1,316.20x = 1,950,994.78
  5. Step 5: Solve for x
    x = 1,950,994.78/1,316.20
  6. Step 6: Final answer
    x = 1,482.29

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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.