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Finding the Fourth Proportional to 1,507.02, 2,259.97 and 519.56

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Solution

The fourth proportional to 1,507.02, 2,259.97 and 519.56 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.02 : 2,259.97 = 519.56 : x
  2. Step 2: Convert to fraction form
    1,507.02/2,259.97 = 519.56/x
  3. Step 3: Cross multiply
    1,507.02x = 2,259.97 × 519.56
  4. Step 4: Simplify right side
    1,507.02x = 1,174,176.12
  5. Step 5: Solve for x
    x = 1,174,176.12/1,507.02
  6. Step 6: Final answer
    x = 779.14

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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.