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Finding the Fourth Proportional to 1,184.32, 1,777.14 and 559.51

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Solution

The fourth proportional to 1,184.32, 1,777.14 and 559.51 is: 839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.32 : 1,777.14 = 559.51 : x
  2. Step 2: Convert to fraction form
    1,184.32/1,777.14 = 559.51/x
  3. Step 3: Cross multiply
    1,184.32x = 1,777.14 × 559.51
  4. Step 4: Simplify right side
    1,184.32x = 994,327.60
  5. Step 5: Solve for x
    x = 994,327.60/1,184.32
  6. Step 6: Final answer
    x = 839.58

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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.