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Finding the Fourth Proportional to 1,415.87, 1,953.83 and 786.43

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Solution

The fourth proportional to 1,415.87, 1,953.83 and 786.43 is: 1,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.87 : 1,953.83 = 786.43 : x
  2. Step 2: Convert to fraction form
    1,415.87/1,953.83 = 786.43/x
  3. Step 3: Cross multiply
    1,415.87x = 1,953.83 × 786.43
  4. Step 4: Simplify right side
    1,415.87x = 1,536,549.04
  5. Step 5: Solve for x
    x = 1,536,549.04/1,415.87
  6. Step 6: Final answer
    x = 1,085.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.