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Finding the Fourth Proportional to 1,416.14, 1,954.29 and 786.68

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Solution

The fourth proportional to 1,416.14, 1,954.29 and 786.68 is: 1,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.14 : 1,954.29 = 786.68 : x
  2. Step 2: Convert to fraction form
    1,416.14/1,954.29 = 786.68/x
  3. Step 3: Cross multiply
    1,416.14x = 1,954.29 × 786.68
  4. Step 4: Simplify right side
    1,416.14x = 1,537,391.09
  5. Step 5: Solve for x
    x = 1,537,391.09/1,416.14
  6. Step 6: Final answer
    x = 1,085.62

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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.