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Finding the Fourth Proportional to 1,220.68, 1,682.58 and 828.28

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Solution

The fourth proportional to 1,220.68, 1,682.58 and 828.28 is: 1,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.68 : 1,682.58 = 828.28 : x
  2. Step 2: Convert to fraction form
    1,220.68/1,682.58 = 828.28/x
  3. Step 3: Cross multiply
    1,220.68x = 1,682.58 × 828.28
  4. Step 4: Simplify right side
    1,220.68x = 1,393,647.36
  5. Step 5: Solve for x
    x = 1,393,647.36/1,220.68
  6. Step 6: Final answer
    x = 1,141.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.