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Finding the Fourth Proportional to 977.28, 1,464.54 and 770.94

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Solution

The fourth proportional to 977.28, 1,464.54 and 770.94 is: 1,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.28 : 1,464.54 = 770.94 : x
  2. Step 2: Convert to fraction form
    977.28/1,464.54 = 770.94/x
  3. Step 3: Cross multiply
    977.28x = 1,464.54 × 770.94
  4. Step 4: Simplify right side
    977.28x = 1,129,072.47
  5. Step 5: Solve for x
    x = 1,129,072.47/977.28
  6. Step 6: Final answer
    x = 1,155.32

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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.