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Finding the Fourth Proportional to 1,533.12, 2,300.32 and 559.32

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Solution

The fourth proportional to 1,533.12, 2,300.32 and 559.32 is: 839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.12 : 2,300.32 = 559.32 : x
  2. Step 2: Convert to fraction form
    1,533.12/2,300.32 = 559.32/x
  3. Step 3: Cross multiply
    1,533.12x = 2,300.32 × 559.32
  4. Step 4: Simplify right side
    1,533.12x = 1,286,614.98
  5. Step 5: Solve for x
    x = 1,286,614.98/1,533.12
  6. Step 6: Final answer
    x = 839.21

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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.