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Finding the Fourth Proportional to 1,006.63, 1,509.94 and 276.31

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Solution

The fourth proportional to 1,006.63, 1,509.94 and 276.31 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.63 : 1,509.94 = 276.31 : x
  2. Step 2: Convert to fraction form
    1,006.63/1,509.94 = 276.31/x
  3. Step 3: Cross multiply
    1,006.63x = 1,509.94 × 276.31
  4. Step 4: Simplify right side
    1,006.63x = 417,213.75
  5. Step 5: Solve for x
    x = 417,213.75/1,006.63
  6. Step 6: Final answer
    x = 414.47

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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.