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Finding the Fourth Proportional to 1,090.74, 1,503.97 and 828.30

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Solution

The fourth proportional to 1,090.74, 1,503.97 and 828.30 is: 1,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.74 : 1,503.97 = 828.30 : x
  2. Step 2: Convert to fraction form
    1,090.74/1,503.97 = 828.30/x
  3. Step 3: Cross multiply
    1,090.74x = 1,503.97 × 828.30
  4. Step 4: Simplify right side
    1,090.74x = 1,245,738.35
  5. Step 5: Solve for x
    x = 1,245,738.35/1,090.74
  6. Step 6: Final answer
    x = 1,142.10

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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.