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Finding the Fourth Proportional to 1,415.79, 1,953.83 and 856.36

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Solution

The fourth proportional to 1,415.79, 1,953.83 and 856.36 is: 1,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.79 : 1,953.83 = 856.36 : x
  2. Step 2: Convert to fraction form
    1,415.79/1,953.83 = 856.36/x
  3. Step 3: Cross multiply
    1,415.79x = 1,953.83 × 856.36
  4. Step 4: Simplify right side
    1,415.79x = 1,673,186.44
  5. Step 5: Solve for x
    x = 1,673,186.44/1,415.79
  6. Step 6: Final answer
    x = 1,181.80

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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.