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Finding the Fourth Proportional to 984.96, 1,466.51 and 980.10

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Solution

The fourth proportional to 984.96, 1,466.51 and 980.10 is: 1,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,466.51 = 980.10 : x
  2. Step 2: Convert to fraction form
    984.96/1,466.51 = 980.10/x
  3. Step 3: Cross multiply
    984.96x = 1,466.51 × 980.10
  4. Step 4: Simplify right side
    984.96x = 1,437,321.55
  5. Step 5: Solve for x
    x = 1,437,321.55/984.96
  6. Step 6: Final answer
    x = 1,459.27

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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.