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Finding the Fourth Proportional to 891.65, 1,337.54 and 275.38

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Solution

The fourth proportional to 891.65, 1,337.54 and 275.38 is: 413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.65 : 1,337.54 = 275.38 : x
  2. Step 2: Convert to fraction form
    891.65/1,337.54 = 275.38/x
  3. Step 3: Cross multiply
    891.65x = 1,337.54 × 275.38
  4. Step 4: Simplify right side
    891.65x = 368,327.04
  5. Step 5: Solve for x
    x = 368,327.04/891.65
  6. Step 6: Final answer
    x = 413.08

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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.