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Finding the Fourth Proportional to 902.21, 1,352.14 and 463.09

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Solution

The fourth proportional to 902.21, 1,352.14 and 463.09 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.21 : 1,352.14 = 463.09 : x
  2. Step 2: Convert to fraction form
    902.21/1,352.14 = 463.09/x
  3. Step 3: Cross multiply
    902.21x = 1,352.14 × 463.09
  4. Step 4: Simplify right side
    902.21x = 626,162.51
  5. Step 5: Solve for x
    x = 626,162.51/902.21
  6. Step 6: Final answer
    x = 694.03

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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.