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Finding the Fourth Proportional to 932.84, 1,379.74 and 932.84

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Solution

The fourth proportional to 932.84, 1,379.74 and 932.84 is: 1,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.84 : 1,379.74 = 932.84 : x
  2. Step 2: Convert to fraction form
    932.84/1,379.74 = 932.84/x
  3. Step 3: Cross multiply
    932.84x = 1,379.74 × 932.84
  4. Step 4: Simplify right side
    932.84x = 1,287,076.66
  5. Step 5: Solve for x
    x = 1,287,076.66/932.84
  6. Step 6: Final answer
    x = 1,379.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.