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Finding the Fourth Proportional to 1,019.54, 1,405.76 and 832.62

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Solution

The fourth proportional to 1,019.54, 1,405.76 and 832.62 is: 1,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.54 : 1,405.76 = 832.62 : x
  2. Step 2: Convert to fraction form
    1,019.54/1,405.76 = 832.62/x
  3. Step 3: Cross multiply
    1,019.54x = 1,405.76 × 832.62
  4. Step 4: Simplify right side
    1,019.54x = 1,170,463.89
  5. Step 5: Solve for x
    x = 1,170,463.89/1,019.54
  6. Step 6: Final answer
    x = 1,148.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.