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Finding the Fourth Proportional to 900.74, 1,241.89 and 585.56

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Solution

The fourth proportional to 900.74, 1,241.89 and 585.56 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.74 : 1,241.89 = 585.56 : x
  2. Step 2: Convert to fraction form
    900.74/1,241.89 = 585.56/x
  3. Step 3: Cross multiply
    900.74x = 1,241.89 × 585.56
  4. Step 4: Simplify right side
    900.74x = 727,202.75
  5. Step 5: Solve for x
    x = 727,202.75/900.74
  6. Step 6: Final answer
    x = 807.34

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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.