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Finding the Fourth Proportional to 1,310.56, 1,808.68 and 786.58

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Solution

The fourth proportional to 1,310.56, 1,808.68 and 786.58 is: 1,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.56 : 1,808.68 = 786.58 : x
  2. Step 2: Convert to fraction form
    1,310.56/1,808.68 = 786.58/x
  3. Step 3: Cross multiply
    1,310.56x = 1,808.68 × 786.58
  4. Step 4: Simplify right side
    1,310.56x = 1,422,671.51
  5. Step 5: Solve for x
    x = 1,422,671.51/1,310.56
  6. Step 6: Final answer
    x = 1,085.54

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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.