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Finding the Fourth Proportional to 1,528.14, 2,292.48 and 662.43

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Solution

The fourth proportional to 1,528.14, 2,292.48 and 662.43 is: 993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.14 : 2,292.48 = 662.43 : x
  2. Step 2: Convert to fraction form
    1,528.14/2,292.48 = 662.43/x
  3. Step 3: Cross multiply
    1,528.14x = 2,292.48 × 662.43
  4. Step 4: Simplify right side
    1,528.14x = 1,518,607.53
  5. Step 5: Solve for x
    x = 1,518,607.53/1,528.14
  6. Step 6: Final answer
    x = 993.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.