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Finding the Fourth Proportional to 1,532.75, 2,299.15 and 608.74

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Solution

The fourth proportional to 1,532.75, 2,299.15 and 608.74 is: 913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.75 : 2,299.15 = 608.74 : x
  2. Step 2: Convert to fraction form
    1,532.75/2,299.15 = 608.74/x
  3. Step 3: Cross multiply
    1,532.75x = 2,299.15 × 608.74
  4. Step 4: Simplify right side
    1,532.75x = 1,399,579.58
  5. Step 5: Solve for x
    x = 1,399,579.58/1,532.75
  6. Step 6: Final answer
    x = 913.12

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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.