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Finding the Fourth Proportional to 902.90, 1,354.05 and 486.20

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Solution

The fourth proportional to 902.90, 1,354.05 and 486.20 is: 729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.90 : 1,354.05 = 486.20 : x
  2. Step 2: Convert to fraction form
    902.90/1,354.05 = 486.20/x
  3. Step 3: Cross multiply
    902.90x = 1,354.05 × 486.20
  4. Step 4: Simplify right side
    902.90x = 658,342.50
  5. Step 5: Solve for x
    x = 658,342.50/902.90
  6. Step 6: Final answer
    x = 729.14

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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.