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Finding the Fourth Proportional to 930.72, 1,284.43 and 511.09

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Solution

The fourth proportional to 930.72, 1,284.43 and 511.09 is: 705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.72 : 1,284.43 = 511.09 : x
  2. Step 2: Convert to fraction form
    930.72/1,284.43 = 511.09/x
  3. Step 3: Cross multiply
    930.72x = 1,284.43 × 511.09
  4. Step 4: Simplify right side
    930.72x = 656,459.33
  5. Step 5: Solve for x
    x = 656,459.33/930.72
  6. Step 6: Final answer
    x = 705.32

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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.