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Finding the Fourth Proportional to 1,416.03, 1,954.11 and 786.54

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Solution

The fourth proportional to 1,416.03, 1,954.11 and 786.54 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.03 : 1,954.11 = 786.54 : x
  2. Step 2: Convert to fraction form
    1,416.03/1,954.11 = 786.54/x
  3. Step 3: Cross multiply
    1,416.03x = 1,954.11 × 786.54
  4. Step 4: Simplify right side
    1,416.03x = 1,536,985.68
  5. Step 5: Solve for x
    x = 1,536,985.68/1,416.03
  6. Step 6: Final answer
    x = 1,085.42

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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.