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Finding the Fourth Proportional to 979.47, 1,468.86 and 492.36

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Solution

The fourth proportional to 979.47, 1,468.86 and 492.36 is: 738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.47 : 1,468.86 = 492.36 : x
  2. Step 2: Convert to fraction form
    979.47/1,468.86 = 492.36/x
  3. Step 3: Cross multiply
    979.47x = 1,468.86 × 492.36
  4. Step 4: Simplify right side
    979.47x = 723,207.91
  5. Step 5: Solve for x
    x = 723,207.91/979.47
  6. Step 6: Final answer
    x = 738.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.