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Finding the Fourth Proportional to 1,533.64, 2,300.82 and 559.75

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Solution

The fourth proportional to 1,533.64, 2,300.82 and 559.75 is: 839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.64 : 2,300.82 = 559.75 : x
  2. Step 2: Convert to fraction form
    1,533.64/2,300.82 = 559.75/x
  3. Step 3: Cross multiply
    1,533.64x = 2,300.82 × 559.75
  4. Step 4: Simplify right side
    1,533.64x = 1,287,884.00
  5. Step 5: Solve for x
    x = 1,287,884.00/1,533.64
  6. Step 6: Final answer
    x = 839.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.