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Finding the Fourth Proportional to 1,668.32, 2,503.60 and 629.28

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Solution

The fourth proportional to 1,668.32, 2,503.60 and 629.28 is: 944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.32 : 2,503.60 = 629.28 : x
  2. Step 2: Convert to fraction form
    1,668.32/2,503.60 = 629.28/x
  3. Step 3: Cross multiply
    1,668.32x = 2,503.60 × 629.28
  4. Step 4: Simplify right side
    1,668.32x = 1,575,465.41
  5. Step 5: Solve for x
    x = 1,575,465.41/1,668.32
  6. Step 6: Final answer
    x = 944.34

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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.