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Finding the Fourth Proportional to 1,159.21, 1,736.63 and 573.53

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Solution

The fourth proportional to 1,159.21, 1,736.63 and 573.53 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.21 : 1,736.63 = 573.53 : x
  2. Step 2: Convert to fraction form
    1,159.21/1,736.63 = 573.53/x
  3. Step 3: Cross multiply
    1,159.21x = 1,736.63 × 573.53
  4. Step 4: Simplify right side
    1,159.21x = 996,000.72
  5. Step 5: Solve for x
    x = 996,000.72/1,159.21
  6. Step 6: Final answer
    x = 859.21

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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.