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Finding the Fourth Proportional to 1,178.64, 1,626.48 and 829.80

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Solution

The fourth proportional to 1,178.64, 1,626.48 and 829.80 is: 1,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.64 : 1,626.48 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,178.64/1,626.48 = 829.80/x
  3. Step 3: Cross multiply
    1,178.64x = 1,626.48 × 829.80
  4. Step 4: Simplify right side
    1,178.64x = 1,349,653.10
  5. Step 5: Solve for x
    x = 1,349,653.10/1,178.64
  6. Step 6: Final answer
    x = 1,145.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.