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Finding the Fourth Proportional to 1,507.83, 2,261.44 and 533.94

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Solution

The fourth proportional to 1,507.83, 2,261.44 and 533.94 is: 800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.83 : 2,261.44 = 533.94 : x
  2. Step 2: Convert to fraction form
    1,507.83/2,261.44 = 533.94/x
  3. Step 3: Cross multiply
    1,507.83x = 2,261.44 × 533.94
  4. Step 4: Simplify right side
    1,507.83x = 1,207,473.27
  5. Step 5: Solve for x
    x = 1,207,473.27/1,507.83
  6. Step 6: Final answer
    x = 800.80

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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.