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Finding the Fourth Proportional to 1,178.64, 1,768.62 and 485.82

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Solution

The fourth proportional to 1,178.64, 1,768.62 and 485.82 is: 729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.64 : 1,768.62 = 485.82 : x
  2. Step 2: Convert to fraction form
    1,178.64/1,768.62 = 485.82/x
  3. Step 3: Cross multiply
    1,178.64x = 1,768.62 × 485.82
  4. Step 4: Simplify right side
    1,178.64x = 859,230.97
  5. Step 5: Solve for x
    x = 859,230.97/1,178.64
  6. Step 6: Final answer
    x = 729.00

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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.