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Finding the Fourth Proportional to 930.88, 1,284.63 and 511.23

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Solution

The fourth proportional to 930.88, 1,284.63 and 511.23 is: 705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.88 : 1,284.63 = 511.23 : x
  2. Step 2: Convert to fraction form
    930.88/1,284.63 = 511.23/x
  3. Step 3: Cross multiply
    930.88x = 1,284.63 × 511.23
  4. Step 4: Simplify right side
    930.88x = 656,741.39
  5. Step 5: Solve for x
    x = 656,741.39/930.88
  6. Step 6: Final answer
    x = 705.51

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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.