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Finding the Fourth Proportional to 1,093.35, 1,508.34 and 739.14

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Solution

The fourth proportional to 1,093.35, 1,508.34 and 739.14 is: 1,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.35 : 1,508.34 = 739.14 : x
  2. Step 2: Convert to fraction form
    1,093.35/1,508.34 = 739.14/x
  3. Step 3: Cross multiply
    1,093.35x = 1,508.34 × 739.14
  4. Step 4: Simplify right side
    1,093.35x = 1,114,870.73
  5. Step 5: Solve for x
    x = 1,114,870.73/1,093.35
  6. Step 6: Final answer
    x = 1,019.69

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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.