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Finding the Fourth Proportional to 1,179.34, 1,769.08 and 313.62

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Solution

The fourth proportional to 1,179.34, 1,769.08 and 313.62 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.34 : 1,769.08 = 313.62 : x
  2. Step 2: Convert to fraction form
    1,179.34/1,769.08 = 313.62/x
  3. Step 3: Cross multiply
    1,179.34x = 1,769.08 × 313.62
  4. Step 4: Simplify right side
    1,179.34x = 554,818.87
  5. Step 5: Solve for x
    x = 554,818.87/1,179.34
  6. Step 6: Final answer
    x = 470.45

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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.