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Finding the Fourth Proportional to 1,182.92, 1,632.59 and 678.97

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Solution

The fourth proportional to 1,182.92, 1,632.59 and 678.97 is: 937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.92 : 1,632.59 = 678.97 : x
  2. Step 2: Convert to fraction form
    1,182.92/1,632.59 = 678.97/x
  3. Step 3: Cross multiply
    1,182.92x = 1,632.59 × 678.97
  4. Step 4: Simplify right side
    1,182.92x = 1,108,478.28
  5. Step 5: Solve for x
    x = 1,108,478.28/1,182.92
  6. Step 6: Final answer
    x = 937.07

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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.