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Finding the Fourth Proportional to 903.85, 1,354.66 and 514.17

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Solution

The fourth proportional to 903.85, 1,354.66 and 514.17 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.85 : 1,354.66 = 514.17 : x
  2. Step 2: Convert to fraction form
    903.85/1,354.66 = 514.17/x
  3. Step 3: Cross multiply
    903.85x = 1,354.66 × 514.17
  4. Step 4: Simplify right side
    903.85x = 696,524.25
  5. Step 5: Solve for x
    x = 696,524.25/903.85
  6. Step 6: Final answer
    x = 770.62

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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.