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Finding the Fourth Proportional to 1,310.63, 1,808.69 and 845.69

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Solution

The fourth proportional to 1,310.63, 1,808.69 and 845.69 is: 1,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.63 : 1,808.69 = 845.69 : x
  2. Step 2: Convert to fraction form
    1,310.63/1,808.69 = 845.69/x
  3. Step 3: Cross multiply
    1,310.63x = 1,808.69 × 845.69
  4. Step 4: Simplify right side
    1,310.63x = 1,529,577.77
  5. Step 5: Solve for x
    x = 1,529,577.77/1,310.63
  6. Step 6: Final answer
    x = 1,167.06

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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.