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Finding the Fourth Proportional to 744.72, 1,117.08 and 419.94

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Solution

The fourth proportional to 744.72, 1,117.08 and 419.94 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.72 : 1,117.08 = 419.94 : x
  2. Step 2: Convert to fraction form
    744.72/1,117.08 = 419.94/x
  3. Step 3: Cross multiply
    744.72x = 1,117.08 × 419.94
  4. Step 4: Simplify right side
    744.72x = 469,106.58
  5. Step 5: Solve for x
    x = 469,106.58/744.72
  6. Step 6: Final answer
    x = 629.91

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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.