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Finding the Fourth Proportional to 731.64, 1,009.64 and 436.84

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Solution

The fourth proportional to 731.64, 1,009.64 and 436.84 is: 602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,009.64 = 436.84 : x
  2. Step 2: Convert to fraction form
    731.64/1,009.64 = 436.84/x
  3. Step 3: Cross multiply
    731.64x = 1,009.64 × 436.84
  4. Step 4: Simplify right side
    731.64x = 441,051.14
  5. Step 5: Solve for x
    x = 441,051.14/731.64
  6. Step 6: Final answer
    x = 602.83

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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.