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Finding the Fourth Proportional to 744.06, 1,026.75 and 412.47

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Solution

The fourth proportional to 744.06, 1,026.75 and 412.47 is: 569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.06 : 1,026.75 = 412.47 : x
  2. Step 2: Convert to fraction form
    744.06/1,026.75 = 412.47/x
  3. Step 3: Cross multiply
    744.06x = 1,026.75 × 412.47
  4. Step 4: Simplify right side
    744.06x = 423,505.12
  5. Step 5: Solve for x
    x = 423,505.12/744.06
  6. Step 6: Final answer
    x = 569.18

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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.