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Finding the Fourth Proportional to 1,346.14, 1,857.96 and 786.61

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Solution

The fourth proportional to 1,346.14, 1,857.96 and 786.61 is: 1,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.14 : 1,857.96 = 786.61 : x
  2. Step 2: Convert to fraction form
    1,346.14/1,857.96 = 786.61/x
  3. Step 3: Cross multiply
    1,346.14x = 1,857.96 × 786.61
  4. Step 4: Simplify right side
    1,346.14x = 1,461,489.92
  5. Step 5: Solve for x
    x = 1,461,489.92/1,346.14
  6. Step 6: Final answer
    x = 1,085.69

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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.