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Finding the Fourth Proportional to 1,415.34, 1,953.45 and 856.17

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Solution

The fourth proportional to 1,415.34, 1,953.45 and 856.17 is: 1,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.34 : 1,953.45 = 856.17 : x
  2. Step 2: Convert to fraction form
    1,415.34/1,953.45 = 856.17/x
  3. Step 3: Cross multiply
    1,415.34x = 1,953.45 × 856.17
  4. Step 4: Simplify right side
    1,415.34x = 1,672,485.29
  5. Step 5: Solve for x
    x = 1,672,485.29/1,415.34
  6. Step 6: Final answer
    x = 1,181.68

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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.