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Finding the Fourth Proportional to 744.13, 1,026.94 and 429.48

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Solution

The fourth proportional to 744.13, 1,026.94 and 429.48 is: 592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.13 : 1,026.94 = 429.48 : x
  2. Step 2: Convert to fraction form
    744.13/1,026.94 = 429.48/x
  3. Step 3: Cross multiply
    744.13x = 1,026.94 × 429.48
  4. Step 4: Simplify right side
    744.13x = 441,050.19
  5. Step 5: Solve for x
    x = 441,050.19/744.13
  6. Step 6: Final answer
    x = 592.71

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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.