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Finding the Fourth Proportional to 1,239.12, 1,712.64 and 976.68

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Solution

The fourth proportional to 1,239.12, 1,712.64 and 976.68 is: 1,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.12 : 1,712.64 = 976.68 : x
  2. Step 2: Convert to fraction form
    1,239.12/1,712.64 = 976.68/x
  3. Step 3: Cross multiply
    1,239.12x = 1,712.64 × 976.68
  4. Step 4: Simplify right side
    1,239.12x = 1,672,701.24
  5. Step 5: Solve for x
    x = 1,672,701.24/1,239.12
  6. Step 6: Final answer
    x = 1,349.91

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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.