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Finding the Fourth Proportional to 1,533.60, 2,299.50 and 559.80

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Solution

The fourth proportional to 1,533.60, 2,299.50 and 559.80 is: 839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.60 : 2,299.50 = 559.80 : x
  2. Step 2: Convert to fraction form
    1,533.60/2,299.50 = 559.80/x
  3. Step 3: Cross multiply
    1,533.60x = 2,299.50 × 559.80
  4. Step 4: Simplify right side
    1,533.60x = 1,287,260.10
  5. Step 5: Solve for x
    x = 1,287,260.10/1,533.60
  6. Step 6: Final answer
    x = 839.37

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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.