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Finding the Fourth Proportional to 1,170.21, 1,615.23 and 798.42

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Solution

The fourth proportional to 1,170.21, 1,615.23 and 798.42 is: 1,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.21 : 1,615.23 = 798.42 : x
  2. Step 2: Convert to fraction form
    1,170.21/1,615.23 = 798.42/x
  3. Step 3: Cross multiply
    1,170.21x = 1,615.23 × 798.42
  4. Step 4: Simplify right side
    1,170.21x = 1,289,631.94
  5. Step 5: Solve for x
    x = 1,289,631.94/1,170.21
  6. Step 6: Final answer
    x = 1,102.05

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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.