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Finding the Fourth Proportional to 744, 1,026.75 and 429.31

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Solution

The fourth proportional to 744, 1,026.75 and 429.31 is: 592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744 : 1,026.75 = 429.31 : x
  2. Step 2: Convert to fraction form
    744/1,026.75 = 429.31/x
  3. Step 3: Cross multiply
    744x = 1,026.75 × 429.31
  4. Step 4: Simplify right side
    744x = 440,794.04
  5. Step 5: Solve for x
    x = 440,794.04/744
  6. Step 6: Final answer
    x = 592.47

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