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Finding the Fourth Proportional to 924.40, 1,379.42 and 842.64

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Solution

The fourth proportional to 924.40, 1,379.42 and 842.64 is: 1,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.40 : 1,379.42 = 842.64 : x
  2. Step 2: Convert to fraction form
    924.40/1,379.42 = 842.64/x
  3. Step 3: Cross multiply
    924.40x = 1,379.42 × 842.64
  4. Step 4: Simplify right side
    924.40x = 1,162,354.47
  5. Step 5: Solve for x
    x = 1,162,354.47/924.40
  6. Step 6: Final answer
    x = 1,257.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.