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Finding the Fourth Proportional to 1,817.28, 2,725.42 and 500.71

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Solution

The fourth proportional to 1,817.28, 2,725.42 and 500.71 is: 750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.28 : 2,725.42 = 500.71 : x
  2. Step 2: Convert to fraction form
    1,817.28/2,725.42 = 500.71/x
  3. Step 3: Cross multiply
    1,817.28x = 2,725.42 × 500.71
  4. Step 4: Simplify right side
    1,817.28x = 1,364,642.54
  5. Step 5: Solve for x
    x = 1,364,642.54/1,817.28
  6. Step 6: Final answer
    x = 750.93

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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.