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Finding the Fourth Proportional to 762.02, 1,142.88 and 275.02

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Solution

The fourth proportional to 762.02, 1,142.88 and 275.02 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.02 : 1,142.88 = 275.02 : x
  2. Step 2: Convert to fraction form
    762.02/1,142.88 = 275.02/x
  3. Step 3: Cross multiply
    762.02x = 1,142.88 × 275.02
  4. Step 4: Simplify right side
    762.02x = 314,314.86
  5. Step 5: Solve for x
    x = 314,314.86/762.02
  6. Step 6: Final answer
    x = 412.48

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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.