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Finding the Fourth Proportional to 765.34, 1,147.32 and 278.05

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Solution

The fourth proportional to 765.34, 1,147.32 and 278.05 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.34 : 1,147.32 = 278.05 : x
  2. Step 2: Convert to fraction form
    765.34/1,147.32 = 278.05/x
  3. Step 3: Cross multiply
    765.34x = 1,147.32 × 278.05
  4. Step 4: Simplify right side
    765.34x = 319,012.33
  5. Step 5: Solve for x
    x = 319,012.33/765.34
  6. Step 6: Final answer
    x = 416.82

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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.