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Finding the Fourth Proportional to 1,007.83, 1,511.58 and 277.24

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Solution

The fourth proportional to 1,007.83, 1,511.58 and 277.24 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.83 : 1,511.58 = 277.24 : x
  2. Step 2: Convert to fraction form
    1,007.83/1,511.58 = 277.24/x
  3. Step 3: Cross multiply
    1,007.83x = 1,511.58 × 277.24
  4. Step 4: Simplify right side
    1,007.83x = 419,070.44
  5. Step 5: Solve for x
    x = 419,070.44/1,007.83
  6. Step 6: Final answer
    x = 415.81

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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.