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Finding the Fourth Proportional to 927.67, 1,391.72 and 407.65

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Solution

The fourth proportional to 927.67, 1,391.72 and 407.65 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.67 : 1,391.72 = 407.65 : x
  2. Step 2: Convert to fraction form
    927.67/1,391.72 = 407.65/x
  3. Step 3: Cross multiply
    927.67x = 1,391.72 × 407.65
  4. Step 4: Simplify right side
    927.67x = 567,334.66
  5. Step 5: Solve for x
    x = 567,334.66/927.67
  6. Step 6: Final answer
    x = 611.57

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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.