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Finding the Fourth Proportional to 984.56, 1,358.51 and 586.35

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Solution

The fourth proportional to 984.56, 1,358.51 and 586.35 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.56 : 1,358.51 = 586.35 : x
  2. Step 2: Convert to fraction form
    984.56/1,358.51 = 586.35/x
  3. Step 3: Cross multiply
    984.56x = 1,358.51 × 586.35
  4. Step 4: Simplify right side
    984.56x = 796,559.41
  5. Step 5: Solve for x
    x = 796,559.41/984.56
  6. Step 6: Final answer
    x = 809.06

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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.