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Finding the Fourth Proportional to 1,760.73, 2,641.53 and 528.16

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Solution

The fourth proportional to 1,760.73, 2,641.53 and 528.16 is: 792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.73 : 2,641.53 = 528.16 : x
  2. Step 2: Convert to fraction form
    1,760.73/2,641.53 = 528.16/x
  3. Step 3: Cross multiply
    1,760.73x = 2,641.53 × 528.16
  4. Step 4: Simplify right side
    1,760.73x = 1,395,153.79
  5. Step 5: Solve for x
    x = 1,395,153.79/1,760.73
  6. Step 6: Final answer
    x = 792.37

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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.