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Finding the Fourth Proportional to 744.30, 1,116.51 and 419.34

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Solution

The fourth proportional to 744.30, 1,116.51 and 419.34 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.30 : 1,116.51 = 419.34 : x
  2. Step 2: Convert to fraction form
    744.30/1,116.51 = 419.34/x
  3. Step 3: Cross multiply
    744.30x = 1,116.51 × 419.34
  4. Step 4: Simplify right side
    744.30x = 468,197.30
  5. Step 5: Solve for x
    x = 468,197.30/744.30
  6. Step 6: Final answer
    x = 629.04

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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.