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Finding the Fourth Proportional to 1,533.54, 2,300.31 and 559.64

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Solution

The fourth proportional to 1,533.54, 2,300.31 and 559.64 is: 839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.54 : 2,300.31 = 559.64 : x
  2. Step 2: Convert to fraction form
    1,533.54/2,300.31 = 559.64/x
  3. Step 3: Cross multiply
    1,533.54x = 2,300.31 × 559.64
  4. Step 4: Simplify right side
    1,533.54x = 1,287,333.99
  5. Step 5: Solve for x
    x = 1,287,333.99/1,533.54
  6. Step 6: Final answer
    x = 839.45

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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.