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Finding the Fourth Proportional to 1,020.32, 1,530.88 and 656

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Solution

The fourth proportional to 1,020.32, 1,530.88 and 656 is: 984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.32 : 1,530.88 = 656 : x
  2. Step 2: Convert to fraction form
    1,020.32/1,530.88 = 656/x
  3. Step 3: Cross multiply
    1,020.32x = 1,530.88 × 656
  4. Step 4: Simplify right side
    1,020.32x = 1,004,257.28
  5. Step 5: Solve for x
    x = 1,004,257.28/1,020.32
  6. Step 6: Final answer
    x = 984.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.