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Finding the Fourth Proportional to 1,006.56, 1,509.78 and 276.24

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Solution

The fourth proportional to 1,006.56, 1,509.78 and 276.24 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.56 : 1,509.78 = 276.24 : x
  2. Step 2: Convert to fraction form
    1,006.56/1,509.78 = 276.24/x
  3. Step 3: Cross multiply
    1,006.56x = 1,509.78 × 276.24
  4. Step 4: Simplify right side
    1,006.56x = 417,061.63
  5. Step 5: Solve for x
    x = 417,061.63/1,006.56
  6. Step 6: Final answer
    x = 414.34

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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.