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Finding the Fourth Proportional to 1,004.03, 1,506.36 and 419.30

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Solution

The fourth proportional to 1,004.03, 1,506.36 and 419.30 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.03 : 1,506.36 = 419.30 : x
  2. Step 2: Convert to fraction form
    1,004.03/1,506.36 = 419.30/x
  3. Step 3: Cross multiply
    1,004.03x = 1,506.36 × 419.30
  4. Step 4: Simplify right side
    1,004.03x = 631,609.22
  5. Step 5: Solve for x
    x = 631,609.22/1,004.03
  6. Step 6: Final answer
    x = 629.08

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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.