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Finding the Fourth Proportional to 1,013.24, 1,398.30 and 976.52

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Solution

The fourth proportional to 1,013.24, 1,398.30 and 976.52 is: 1,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.24 : 1,398.30 = 976.52 : x
  2. Step 2: Convert to fraction form
    1,013.24/1,398.30 = 976.52/x
  3. Step 3: Cross multiply
    1,013.24x = 1,398.30 × 976.52
  4. Step 4: Simplify right side
    1,013.24x = 1,365,467.92
  5. Step 5: Solve for x
    x = 1,365,467.92/1,013.24
  6. Step 6: Final answer
    x = 1,347.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.