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Finding the Fourth Proportional to 1,416.27, 1,954.48 and 786.84

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Solution

The fourth proportional to 1,416.27, 1,954.48 and 786.84 is: 1,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.27 : 1,954.48 = 786.84 : x
  2. Step 2: Convert to fraction form
    1,416.27/1,954.48 = 786.84/x
  3. Step 3: Cross multiply
    1,416.27x = 1,954.48 × 786.84
  4. Step 4: Simplify right side
    1,416.27x = 1,537,866.22
  5. Step 5: Solve for x
    x = 1,537,866.22/1,416.27
  6. Step 6: Final answer
    x = 1,085.85

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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.