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Finding the Fourth Proportional to 930.68, 1,284.37 and 511.05

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Solution

The fourth proportional to 930.68, 1,284.37 and 511.05 is: 705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.68 : 1,284.37 = 511.05 : x
  2. Step 2: Convert to fraction form
    930.68/1,284.37 = 511.05/x
  3. Step 3: Cross multiply
    930.68x = 1,284.37 × 511.05
  4. Step 4: Simplify right side
    930.68x = 656,377.29
  5. Step 5: Solve for x
    x = 656,377.29/930.68
  6. Step 6: Final answer
    x = 705.27

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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.