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Finding the Fourth Proportional to 763.75, 1,145.28 and 270.08

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Solution

The fourth proportional to 763.75, 1,145.28 and 270.08 is: 405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.75 : 1,145.28 = 270.08 : x
  2. Step 2: Convert to fraction form
    763.75/1,145.28 = 270.08/x
  3. Step 3: Cross multiply
    763.75x = 1,145.28 × 270.08
  4. Step 4: Simplify right side
    763.75x = 309,317.22
  5. Step 5: Solve for x
    x = 309,317.22/763.75
  6. Step 6: Final answer
    x = 405.00

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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.