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Finding the Fourth Proportional to 930.78, 1,284.51 and 511.17

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Solution

The fourth proportional to 930.78, 1,284.51 and 511.17 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,284.51 = 511.17 : x
  2. Step 2: Convert to fraction form
    930.78/1,284.51 = 511.17/x
  3. Step 3: Cross multiply
    930.78x = 1,284.51 × 511.17
  4. Step 4: Simplify right side
    930.78x = 656,602.98
  5. Step 5: Solve for x
    x = 656,602.98/930.78
  6. Step 6: Final answer
    x = 705.43

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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.