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Finding the Fourth Proportional to 1,178.25, 1,767.38 and 312.57

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Solution

The fourth proportional to 1,178.25, 1,767.38 and 312.57 is: 468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.25 : 1,767.38 = 312.57 : x
  2. Step 2: Convert to fraction form
    1,178.25/1,767.38 = 312.57/x
  3. Step 3: Cross multiply
    1,178.25x = 1,767.38 × 312.57
  4. Step 4: Simplify right side
    1,178.25x = 552,428.40
  5. Step 5: Solve for x
    x = 552,428.40/1,178.25
  6. Step 6: Final answer
    x = 468.86

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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.