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Finding the Fourth Proportional to 731.56, 1,009.47 and 412.47

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Solution

The fourth proportional to 731.56, 1,009.47 and 412.47 is: 569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.56 : 1,009.47 = 412.47 : x
  2. Step 2: Convert to fraction form
    731.56/1,009.47 = 412.47/x
  3. Step 3: Cross multiply
    731.56x = 1,009.47 × 412.47
  4. Step 4: Simplify right side
    731.56x = 416,376.09
  5. Step 5: Solve for x
    x = 416,376.09/731.56
  6. Step 6: Final answer
    x = 569.16

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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.