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Finding the Fourth Proportional to 1,062.74, 1,465.94 and 620.32

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Solution

The fourth proportional to 1,062.74, 1,465.94 and 620.32 is: 855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.74 : 1,465.94 = 620.32 : x
  2. Step 2: Convert to fraction form
    1,062.74/1,465.94 = 620.32/x
  3. Step 3: Cross multiply
    1,062.74x = 1,465.94 × 620.32
  4. Step 4: Simplify right side
    1,062.74x = 909,351.90
  5. Step 5: Solve for x
    x = 909,351.90/1,062.74
  6. Step 6: Final answer
    x = 855.67

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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.