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Finding the Fourth Proportional to 1,236.53, 1,705.45 and 739.07

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Solution

The fourth proportional to 1,236.53, 1,705.45 and 739.07 is: 1,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.53 : 1,705.45 = 739.07 : x
  2. Step 2: Convert to fraction form
    1,236.53/1,705.45 = 739.07/x
  3. Step 3: Cross multiply
    1,236.53x = 1,705.45 × 739.07
  4. Step 4: Simplify right side
    1,236.53x = 1,260,446.93
  5. Step 5: Solve for x
    x = 1,260,446.93/1,236.53
  6. Step 6: Final answer
    x = 1,019.34

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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.