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Finding the Fourth Proportional to 1,506.36, 2,259.63 and 519.15

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Solution

The fourth proportional to 1,506.36, 2,259.63 and 519.15 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.36 : 2,259.63 = 519.15 : x
  2. Step 2: Convert to fraction form
    1,506.36/2,259.63 = 519.15/x
  3. Step 3: Cross multiply
    1,506.36x = 2,259.63 × 519.15
  4. Step 4: Simplify right side
    1,506.36x = 1,173,086.91
  5. Step 5: Solve for x
    x = 1,173,086.91/1,506.36
  6. Step 6: Final answer
    x = 778.76

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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.