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Finding the Fourth Proportional to 744.21, 1,114.64 and 396.93

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Solution

The fourth proportional to 744.21, 1,114.64 and 396.93 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.21 : 1,114.64 = 396.93 : x
  2. Step 2: Convert to fraction form
    744.21/1,114.64 = 396.93/x
  3. Step 3: Cross multiply
    744.21x = 1,114.64 × 396.93
  4. Step 4: Simplify right side
    744.21x = 442,432.07
  5. Step 5: Solve for x
    x = 442,432.07/744.21
  6. Step 6: Final answer
    x = 594.50

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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.