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Finding the Fourth Proportional to 1,005.72, 1,506.54 and 976.56

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Solution

The fourth proportional to 1,005.72, 1,506.54 and 976.56 is: 1,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.72 : 1,506.54 = 976.56 : x
  2. Step 2: Convert to fraction form
    1,005.72/1,506.54 = 976.56/x
  3. Step 3: Cross multiply
    1,005.72x = 1,506.54 × 976.56
  4. Step 4: Simplify right side
    1,005.72x = 1,471,226.70
  5. Step 5: Solve for x
    x = 1,471,226.70/1,005.72
  6. Step 6: Final answer
    x = 1,462.86

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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.