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Finding the Fourth Proportional to 744.16, 1,026.80 and 449.23

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Solution

The fourth proportional to 744.16, 1,026.80 and 449.23 is: 619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.16 : 1,026.80 = 449.23 : x
  2. Step 2: Convert to fraction form
    744.16/1,026.80 = 449.23/x
  3. Step 3: Cross multiply
    744.16x = 1,026.80 × 449.23
  4. Step 4: Simplify right side
    744.16x = 461,265.35
  5. Step 5: Solve for x
    x = 461,265.35/744.16
  6. Step 6: Final answer
    x = 619.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.