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Finding the Fourth Proportional to 980.90, 1,476.70 and 846.98

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Solution

The fourth proportional to 980.90, 1,476.70 and 846.98 is: 1,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.90 : 1,476.70 = 846.98 : x
  2. Step 2: Convert to fraction form
    980.90/1,476.70 = 846.98/x
  3. Step 3: Cross multiply
    980.90x = 1,476.70 × 846.98
  4. Step 4: Simplify right side
    980.90x = 1,250,731.13
  5. Step 5: Solve for x
    x = 1,250,731.13/980.90
  6. Step 6: Final answer
    x = 1,275.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.