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Finding the Fourth Proportional to 1,507.45, 2,260.60 and 519.98

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Solution

The fourth proportional to 1,507.45, 2,260.60 and 519.98 is: 779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.45 : 2,260.60 = 519.98 : x
  2. Step 2: Convert to fraction form
    1,507.45/2,260.60 = 519.98/x
  3. Step 3: Cross multiply
    1,507.45x = 2,260.60 × 519.98
  4. Step 4: Simplify right side
    1,507.45x = 1,175,466.79
  5. Step 5: Solve for x
    x = 1,175,466.79/1,507.45
  6. Step 6: Final answer
    x = 779.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.