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Finding the Fourth Proportional to 977.38, 1,463.70 and 771.42

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Solution

The fourth proportional to 977.38, 1,463.70 and 771.42 is: 1,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,463.70 = 771.42 : x
  2. Step 2: Convert to fraction form
    977.38/1,463.70 = 771.42/x
  3. Step 3: Cross multiply
    977.38x = 1,463.70 × 771.42
  4. Step 4: Simplify right side
    977.38x = 1,129,127.45
  5. Step 5: Solve for x
    x = 1,129,127.45/977.38
  6. Step 6: Final answer
    x = 1,155.26

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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.