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Finding the Fourth Proportional to 1,507.21, 2,260.81 and 519.87

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Solution

The fourth proportional to 1,507.21, 2,260.81 and 519.87 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.21 : 2,260.81 = 519.87 : x
  2. Step 2: Convert to fraction form
    1,507.21/2,260.81 = 519.87/x
  3. Step 3: Cross multiply
    1,507.21x = 2,260.81 × 519.87
  4. Step 4: Simplify right side
    1,507.21x = 1,175,323.71
  5. Step 5: Solve for x
    x = 1,175,323.71/1,507.21
  6. Step 6: Final answer
    x = 779.80

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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.