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Finding the Fourth Proportional to 1,415.97, 1,953.94 and 786.45

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Solution

The fourth proportional to 1,415.97, 1,953.94 and 786.45 is: 1,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.97 : 1,953.94 = 786.45 : x
  2. Step 2: Convert to fraction form
    1,415.97/1,953.94 = 786.45/x
  3. Step 3: Cross multiply
    1,415.97x = 1,953.94 × 786.45
  4. Step 4: Simplify right side
    1,415.97x = 1,536,676.11
  5. Step 5: Solve for x
    x = 1,536,676.11/1,415.97
  6. Step 6: Final answer
    x = 1,085.25

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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.