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Finding the Fourth Proportional to 1,323.71, 1,827.05 and 930.86

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Solution

The fourth proportional to 1,323.71, 1,827.05 and 930.86 is: 1,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.71 : 1,827.05 = 930.86 : x
  2. Step 2: Convert to fraction form
    1,323.71/1,827.05 = 930.86/x
  3. Step 3: Cross multiply
    1,323.71x = 1,827.05 × 930.86
  4. Step 4: Simplify right side
    1,323.71x = 1,700,713.97
  5. Step 5: Solve for x
    x = 1,700,713.97/1,323.71
  6. Step 6: Final answer
    x = 1,284.81

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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.