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Finding the Fourth Proportional to 1,178.20, 1,765.07 and 630.64

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Solution

The fourth proportional to 1,178.20, 1,765.07 and 630.64 is: 944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.20 : 1,765.07 = 630.64 : x
  2. Step 2: Convert to fraction form
    1,178.20/1,765.07 = 630.64/x
  3. Step 3: Cross multiply
    1,178.20x = 1,765.07 × 630.64
  4. Step 4: Simplify right side
    1,178.20x = 1,113,123.74
  5. Step 5: Solve for x
    x = 1,113,123.74/1,178.20
  6. Step 6: Final answer
    x = 944.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.