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Finding the Fourth Proportional to 985.56, 1,359.46 and 587.08

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Solution

The fourth proportional to 985.56, 1,359.46 and 587.08 is: 809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.56 : 1,359.46 = 587.08 : x
  2. Step 2: Convert to fraction form
    985.56/1,359.46 = 587.08/x
  3. Step 3: Cross multiply
    985.56x = 1,359.46 × 587.08
  4. Step 4: Simplify right side
    985.56x = 798,111.78
  5. Step 5: Solve for x
    x = 798,111.78/985.56
  6. Step 6: Final answer
    x = 809.81

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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.