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Finding the Fourth Proportional to 901.03, 1,243.94 and 586.59

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Solution

The fourth proportional to 901.03, 1,243.94 and 586.59 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.03 : 1,243.94 = 586.59 : x
  2. Step 2: Convert to fraction form
    901.03/1,243.94 = 586.59/x
  3. Step 3: Cross multiply
    901.03x = 1,243.94 × 586.59
  4. Step 4: Simplify right side
    901.03x = 729,682.76
  5. Step 5: Solve for x
    x = 729,682.76/901.03
  6. Step 6: Final answer
    x = 809.83

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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.