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Finding the Fourth Proportional to 1,007.88, 1,511.47 and 513.82

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Solution

The fourth proportional to 1,007.88, 1,511.47 and 513.82 is: 770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.88 : 1,511.47 = 513.82 : x
  2. Step 2: Convert to fraction form
    1,007.88/1,511.47 = 513.82/x
  3. Step 3: Cross multiply
    1,007.88x = 1,511.47 × 513.82
  4. Step 4: Simplify right side
    1,007.88x = 776,623.52
  5. Step 5: Solve for x
    x = 776,623.52/1,007.88
  6. Step 6: Final answer
    x = 770.55

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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.