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Finding the Fourth Proportional to 929.89, 1,394.79 and 467.56

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Solution

The fourth proportional to 929.89, 1,394.79 and 467.56 is: 701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.89 : 1,394.79 = 467.56 : x
  2. Step 2: Convert to fraction form
    929.89/1,394.79 = 467.56/x
  3. Step 3: Cross multiply
    929.89x = 1,394.79 × 467.56
  4. Step 4: Simplify right side
    929.89x = 652,148.01
  5. Step 5: Solve for x
    x = 652,148.01/929.89
  6. Step 6: Final answer
    x = 701.32

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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.