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Finding the Fourth Proportional to 1,006.08, 1,507.74 and 976.52

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Solution

The fourth proportional to 1,006.08, 1,507.74 and 976.52 is: 1,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.08 : 1,507.74 = 976.52 : x
  2. Step 2: Convert to fraction form
    1,006.08/1,507.74 = 976.52/x
  3. Step 3: Cross multiply
    1,006.08x = 1,507.74 × 976.52
  4. Step 4: Simplify right side
    1,006.08x = 1,472,338.26
  5. Step 5: Solve for x
    x = 1,472,338.26/1,006.08
  6. Step 6: Final answer
    x = 1,463.44

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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.