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Finding the Fourth Proportional to 1,007.07, 1,511.04 and 519.84

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Solution

The fourth proportional to 1,007.07, 1,511.04 and 519.84 is: 779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.07 : 1,511.04 = 519.84 : x
  2. Step 2: Convert to fraction form
    1,007.07/1,511.04 = 519.84/x
  3. Step 3: Cross multiply
    1,007.07x = 1,511.04 × 519.84
  4. Step 4: Simplify right side
    1,007.07x = 785,499.03
  5. Step 5: Solve for x
    x = 785,499.03/1,007.07
  6. Step 6: Final answer
    x = 779.98

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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.