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Finding the Fourth Proportional to 1,527.31, 2,292.59 and 662.23

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Solution

The fourth proportional to 1,527.31, 2,292.59 and 662.23 is: 994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.31 : 2,292.59 = 662.23 : x
  2. Step 2: Convert to fraction form
    1,527.31/2,292.59 = 662.23/x
  3. Step 3: Cross multiply
    1,527.31x = 2,292.59 × 662.23
  4. Step 4: Simplify right side
    1,527.31x = 1,518,221.88
  5. Step 5: Solve for x
    x = 1,518,221.88/1,527.31
  6. Step 6: Final answer
    x = 994.05

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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.