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Finding the Fourth Proportional to 977.14, 1,466.10 and 514.80

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Solution

The fourth proportional to 977.14, 1,466.10 and 514.80 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.14 : 1,466.10 = 514.80 : x
  2. Step 2: Convert to fraction form
    977.14/1,466.10 = 514.80/x
  3. Step 3: Cross multiply
    977.14x = 1,466.10 × 514.80
  4. Step 4: Simplify right side
    977.14x = 754,748.28
  5. Step 5: Solve for x
    x = 754,748.28/977.14
  6. Step 6: Final answer
    x = 772.41

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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.