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Finding the Fourth Proportional to 929.62, 1,392.57 and 443.14

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Solution

The fourth proportional to 929.62, 1,392.57 and 443.14 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.62 : 1,392.57 = 443.14 : x
  2. Step 2: Convert to fraction form
    929.62/1,392.57 = 443.14/x
  3. Step 3: Cross multiply
    929.62x = 1,392.57 × 443.14
  4. Step 4: Simplify right side
    929.62x = 617,103.47
  5. Step 5: Solve for x
    x = 617,103.47/929.62
  6. Step 6: Final answer
    x = 663.82

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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.