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Finding the Fourth Proportional to 1,236.05, 1,705.80 and 676.57

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Solution

The fourth proportional to 1,236.05, 1,705.80 and 676.57 is: 933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.05 : 1,705.80 = 676.57 : x
  2. Step 2: Convert to fraction form
    1,236.05/1,705.80 = 676.57/x
  3. Step 3: Cross multiply
    1,236.05x = 1,705.80 × 676.57
  4. Step 4: Simplify right side
    1,236.05x = 1,154,093.11
  5. Step 5: Solve for x
    x = 1,154,093.11/1,236.05
  6. Step 6: Final answer
    x = 933.69

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1.5x scale

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.