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Finding the Fourth Proportional to 930.72, 1,284.34 and 511.08

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Solution

The fourth proportional to 930.72, 1,284.34 and 511.08 is: 705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.72 : 1,284.34 = 511.08 : x
  2. Step 2: Convert to fraction form
    930.72/1,284.34 = 511.08/x
  3. Step 3: Cross multiply
    930.72x = 1,284.34 × 511.08
  4. Step 4: Simplify right side
    930.72x = 656,400.49
  5. Step 5: Solve for x
    x = 656,400.49/930.72
  6. Step 6: Final answer
    x = 705.26

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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.