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Finding the Fourth Proportional to 1,181.48, 1,630.19 and 902.03

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Solution

The fourth proportional to 1,181.48, 1,630.19 and 902.03 is: 1,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.48 : 1,630.19 = 902.03 : x
  2. Step 2: Convert to fraction form
    1,181.48/1,630.19 = 902.03/x
  3. Step 3: Cross multiply
    1,181.48x = 1,630.19 × 902.03
  4. Step 4: Simplify right side
    1,181.48x = 1,470,474.39
  5. Step 5: Solve for x
    x = 1,470,474.39/1,181.48
  6. Step 6: Final answer
    x = 1,244.61

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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.