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Finding the Fourth Proportional to 731.74, 1,009.76 and 436.86

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Solution

The fourth proportional to 731.74, 1,009.76 and 436.86 is: 602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.74 : 1,009.76 = 436.86 : x
  2. Step 2: Convert to fraction form
    731.74/1,009.76 = 436.86/x
  3. Step 3: Cross multiply
    731.74x = 1,009.76 × 436.86
  4. Step 4: Simplify right side
    731.74x = 441,123.75
  5. Step 5: Solve for x
    x = 441,123.75/731.74
  6. Step 6: Final answer
    x = 602.84

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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.