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Finding the Fourth Proportional to 1,576.49, 2,366.20 and 797.05

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Solution

The fourth proportional to 1,576.49, 2,366.20 and 797.05 is: 1,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.49 : 2,366.20 = 797.05 : x
  2. Step 2: Convert to fraction form
    1,576.49/2,366.20 = 797.05/x
  3. Step 3: Cross multiply
    1,576.49x = 2,366.20 × 797.05
  4. Step 4: Simplify right side
    1,576.49x = 1,885,971.80
  5. Step 5: Solve for x
    x = 1,885,971.80/1,576.49
  6. Step 6: Final answer
    x = 1,196.31

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1.5x scale

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.