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Finding the Fourth Proportional to 763.54, 1,145.10 and 294.91

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Solution

The fourth proportional to 763.54, 1,145.10 and 294.91 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.54 : 1,145.10 = 294.91 : x
  2. Step 2: Convert to fraction form
    763.54/1,145.10 = 294.91/x
  3. Step 3: Cross multiply
    763.54x = 1,145.10 × 294.91
  4. Step 4: Simplify right side
    763.54x = 337,698.44
  5. Step 5: Solve for x
    x = 337,698.44/763.54
  6. Step 6: Final answer
    x = 442.28

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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.