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Finding the Fourth Proportional to 932.77, 1,285.23 and 670.33

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Solution

The fourth proportional to 932.77, 1,285.23 and 670.33 is: 923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.77 : 1,285.23 = 670.33 : x
  2. Step 2: Convert to fraction form
    932.77/1,285.23 = 670.33/x
  3. Step 3: Cross multiply
    932.77x = 1,285.23 × 670.33
  4. Step 4: Simplify right side
    932.77x = 861,528.23
  5. Step 5: Solve for x
    x = 861,528.23/932.77
  6. Step 6: Final answer
    x = 923.62

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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.