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Finding the Fourth Proportional to 731.58, 1,009.57 and 416.84

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Solution

The fourth proportional to 731.58, 1,009.57 and 416.84 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.58 : 1,009.57 = 416.84 : x
  2. Step 2: Convert to fraction form
    731.58/1,009.57 = 416.84/x
  3. Step 3: Cross multiply
    731.58x = 1,009.57 × 416.84
  4. Step 4: Simplify right side
    731.58x = 420,825.92
  5. Step 5: Solve for x
    x = 420,825.92/731.58
  6. Step 6: Final answer
    x = 575.23

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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.