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Finding the Fourth Proportional to 1,238.91, 1,709.73 and 714.93

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Solution

The fourth proportional to 1,238.91, 1,709.73 and 714.93 is: 986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.91 : 1,709.73 = 714.93 : x
  2. Step 2: Convert to fraction form
    1,238.91/1,709.73 = 714.93/x
  3. Step 3: Cross multiply
    1,238.91x = 1,709.73 × 714.93
  4. Step 4: Simplify right side
    1,238.91x = 1,222,337.27
  5. Step 5: Solve for x
    x = 1,222,337.27/1,238.91
  6. Step 6: Final answer
    x = 986.62

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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.