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Finding the Fourth Proportional to 762.18, 1,142.50 and 299.70

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Solution

The fourth proportional to 762.18, 1,142.50 and 299.70 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.18 : 1,142.50 = 299.70 : x
  2. Step 2: Convert to fraction form
    762.18/1,142.50 = 299.70/x
  3. Step 3: Cross multiply
    762.18x = 1,142.50 × 299.70
  4. Step 4: Simplify right side
    762.18x = 342,407.25
  5. Step 5: Solve for x
    x = 342,407.25/762.18
  6. Step 6: Final answer
    x = 449.25

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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.