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Finding the Fourth Proportional to 1,507.78, 2,260.11 and 533.21

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Solution

The fourth proportional to 1,507.78, 2,260.11 and 533.21 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.78 : 2,260.11 = 533.21 : x
  2. Step 2: Convert to fraction form
    1,507.78/2,260.11 = 533.21/x
  3. Step 3: Cross multiply
    1,507.78x = 2,260.11 × 533.21
  4. Step 4: Simplify right side
    1,507.78x = 1,205,113.25
  5. Step 5: Solve for x
    x = 1,205,113.25/1,507.78
  6. Step 6: Final answer
    x = 799.26

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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.