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Finding the Fourth Proportional to 979.52, 1,354.56 and 892.40

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Solution

The fourth proportional to 979.52, 1,354.56 and 892.40 is: 1,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.52 : 1,354.56 = 892.40 : x
  2. Step 2: Convert to fraction form
    979.52/1,354.56 = 892.40/x
  3. Step 3: Cross multiply
    979.52x = 1,354.56 × 892.40
  4. Step 4: Simplify right side
    979.52x = 1,208,809.34
  5. Step 5: Solve for x
    x = 1,208,809.34/979.52
  6. Step 6: Final answer
    x = 1,234.08

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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.