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Finding the Fourth Proportional to 1,668.81, 2,503.44 and 628.74

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Solution

The fourth proportional to 1,668.81, 2,503.44 and 628.74 is: 943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.81 : 2,503.44 = 628.74 : x
  2. Step 2: Convert to fraction form
    1,668.81/2,503.44 = 628.74/x
  3. Step 3: Cross multiply
    1,668.81x = 2,503.44 × 628.74
  4. Step 4: Simplify right side
    1,668.81x = 1,574,012.87
  5. Step 5: Solve for x
    x = 1,574,012.87/1,668.81
  6. Step 6: Final answer
    x = 943.19

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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.