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Finding the Fourth Proportional to 985, 1,359.26 and 586.72

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Solution

The fourth proportional to 985, 1,359.26 and 586.72 is: 809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    985 : 1,359.26 = 586.72 : x
  2. Step 2: Convert to fraction form
    985/1,359.26 = 586.72/x
  3. Step 3: Cross multiply
    985x = 1,359.26 × 586.72
  4. Step 4: Simplify right side
    985x = 797,505.03
  5. Step 5: Solve for x
    x = 797,505.03/985
  6. Step 6: Final answer
    x = 809.65

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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.