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Finding the Fourth Proportional to 1,507.83, 2,261.81 and 777.21

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Solution

The fourth proportional to 1,507.83, 2,261.81 and 777.21 is: 1,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.83 : 2,261.81 = 777.21 : x
  2. Step 2: Convert to fraction form
    1,507.83/2,261.81 = 777.21/x
  3. Step 3: Cross multiply
    1,507.83x = 2,261.81 × 777.21
  4. Step 4: Simplify right side
    1,507.83x = 1,757,901.35
  5. Step 5: Solve for x
    x = 1,757,901.35/1,507.83
  6. Step 6: Final answer
    x = 1,165.85

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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.