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Finding the Fourth Proportional to 1,007.54, 1,511.12 and 276.98

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Solution

The fourth proportional to 1,007.54, 1,511.12 and 276.98 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.54 : 1,511.12 = 276.98 : x
  2. Step 2: Convert to fraction form
    1,007.54/1,511.12 = 276.98/x
  3. Step 3: Cross multiply
    1,007.54x = 1,511.12 × 276.98
  4. Step 4: Simplify right side
    1,007.54x = 418,541.08
  5. Step 5: Solve for x
    x = 418,541.08/1,007.54
  6. Step 6: Final answer
    x = 415.41

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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.