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Finding the Fourth Proportional to 977.87, 1,464.87 and 514.96

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Solution

The fourth proportional to 977.87, 1,464.87 and 514.96 is: 771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.87 : 1,464.87 = 514.96 : x
  2. Step 2: Convert to fraction form
    977.87/1,464.87 = 514.96/x
  3. Step 3: Cross multiply
    977.87x = 1,464.87 × 514.96
  4. Step 4: Simplify right side
    977.87x = 754,349.46
  5. Step 5: Solve for x
    x = 754,349.46/977.87
  6. Step 6: Final answer
    x = 771.42

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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.