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Finding the Fourth Proportional to 762.14, 1,142.49 and 275.07

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Solution

The fourth proportional to 762.14, 1,142.49 and 275.07 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.14 : 1,142.49 = 275.07 : x
  2. Step 2: Convert to fraction form
    762.14/1,142.49 = 275.07/x
  3. Step 3: Cross multiply
    762.14x = 1,142.49 × 275.07
  4. Step 4: Simplify right side
    762.14x = 314,264.72
  5. Step 5: Solve for x
    x = 314,264.72/762.14
  6. Step 6: Final answer
    x = 412.35

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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.