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Finding the Fourth Proportional to 731.59, 1,009.70 and 436.80

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Solution

The fourth proportional to 731.59, 1,009.70 and 436.80 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.59 : 1,009.70 = 436.80 : x
  2. Step 2: Convert to fraction form
    731.59/1,009.70 = 436.80/x
  3. Step 3: Cross multiply
    731.59x = 1,009.70 × 436.80
  4. Step 4: Simplify right side
    731.59x = 441,036.96
  5. Step 5: Solve for x
    x = 441,036.96/731.59
  6. Step 6: Final answer
    x = 602.85

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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.