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Finding the Fourth Proportional to 985.28, 1,359.42 and 586.84

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Solution

The fourth proportional to 985.28, 1,359.42 and 586.84 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.28 : 1,359.42 = 586.84 : x
  2. Step 2: Convert to fraction form
    985.28/1,359.42 = 586.84/x
  3. Step 3: Cross multiply
    985.28x = 1,359.42 × 586.84
  4. Step 4: Simplify right side
    985.28x = 797,762.03
  5. Step 5: Solve for x
    x = 797,762.03/985.28
  6. Step 6: Final answer
    x = 809.68

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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.