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Finding the Fourth Proportional to 1,179.04, 1,767.36 and 561.84

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Solution

The fourth proportional to 1,179.04, 1,767.36 and 561.84 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.04 : 1,767.36 = 561.84 : x
  2. Step 2: Convert to fraction form
    1,179.04/1,767.36 = 561.84/x
  3. Step 3: Cross multiply
    1,179.04x = 1,767.36 × 561.84
  4. Step 4: Simplify right side
    1,179.04x = 992,973.54
  5. Step 5: Solve for x
    x = 992,973.54/1,179.04
  6. Step 6: Final answer
    x = 842.19

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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.