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Finding the Fourth Proportional to 930.62, 1,284.27 and 511.02

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Solution

The fourth proportional to 930.62, 1,284.27 and 511.02 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.62 : 1,284.27 = 511.02 : x
  2. Step 2: Convert to fraction form
    930.62/1,284.27 = 511.02/x
  3. Step 3: Cross multiply
    930.62x = 1,284.27 × 511.02
  4. Step 4: Simplify right side
    930.62x = 656,283.37
  5. Step 5: Solve for x
    x = 656,283.37/930.62
  6. Step 6: Final answer
    x = 705.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.