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Finding the Fourth Proportional to 675.45, 1,008.65 and 584.37

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Solution

The fourth proportional to 675.45, 1,008.65 and 584.37 is: 872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.45 : 1,008.65 = 584.37 : x
  2. Step 2: Convert to fraction form
    675.45/1,008.65 = 584.37/x
  3. Step 3: Cross multiply
    675.45x = 1,008.65 × 584.37
  4. Step 4: Simplify right side
    675.45x = 589,426.26
  5. Step 5: Solve for x
    x = 589,426.26/675.45
  6. Step 6: Final answer
    x = 872.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.