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Finding the Fourth Proportional to 1,532.50, 2,298.76 and 506.50

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Solution

The fourth proportional to 1,532.50, 2,298.76 and 506.50 is: 759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.50 : 2,298.76 = 506.50 : x
  2. Step 2: Convert to fraction form
    1,532.50/2,298.76 = 506.50/x
  3. Step 3: Cross multiply
    1,532.50x = 2,298.76 × 506.50
  4. Step 4: Simplify right side
    1,532.50x = 1,164,321.94
  5. Step 5: Solve for x
    x = 1,164,321.94/1,532.50
  6. Step 6: Final answer
    x = 759.75

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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.