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Finding the Fourth Proportional to 976.70, 1,465.14 and 514.20

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Solution

The fourth proportional to 976.70, 1,465.14 and 514.20 is: 771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.70 : 1,465.14 = 514.20 : x
  2. Step 2: Convert to fraction form
    976.70/1,465.14 = 514.20/x
  3. Step 3: Cross multiply
    976.70x = 1,465.14 × 514.20
  4. Step 4: Simplify right side
    976.70x = 753,374.99
  5. Step 5: Solve for x
    x = 753,374.99/976.70
  6. Step 6: Final answer
    x = 771.35

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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.