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Finding the Fourth Proportional to 1,101.69, 1,651.93 and 451.67

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Solution

The fourth proportional to 1,101.69, 1,651.93 and 451.67 is: 677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.69 : 1,651.93 = 451.67 : x
  2. Step 2: Convert to fraction form
    1,101.69/1,651.93 = 451.67/x
  3. Step 3: Cross multiply
    1,101.69x = 1,651.93 × 451.67
  4. Step 4: Simplify right side
    1,101.69x = 746,117.83
  5. Step 5: Solve for x
    x = 746,117.83/1,101.69
  6. Step 6: Final answer
    x = 677.25

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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.