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Finding the Fourth Proportional to 977.20, 1,465.69 and 514.80

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Solution

The fourth proportional to 977.20, 1,465.69 and 514.80 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,465.69 = 514.80 : x
  2. Step 2: Convert to fraction form
    977.20/1,465.69 = 514.80/x
  3. Step 3: Cross multiply
    977.20x = 1,465.69 × 514.80
  4. Step 4: Simplify right side
    977.20x = 754,537.21
  5. Step 5: Solve for x
    x = 754,537.21/977.20
  6. Step 6: Final answer
    x = 772.14

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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.