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Finding the Fourth Proportional to 1,365.42, 2,046.11 and 705.81

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Solution

The fourth proportional to 1,365.42, 2,046.11 and 705.81 is: 1,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.42 : 2,046.11 = 705.81 : x
  2. Step 2: Convert to fraction form
    1,365.42/2,046.11 = 705.81/x
  3. Step 3: Cross multiply
    1,365.42x = 2,046.11 × 705.81
  4. Step 4: Simplify right side
    1,365.42x = 1,444,161.37
  5. Step 5: Solve for x
    x = 1,444,161.37/1,365.42
  6. Step 6: Final answer
    x = 1,057.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.