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Finding the Fourth Proportional to 1,036.28, 1,429.63 and 686.36

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Solution

The fourth proportional to 1,036.28, 1,429.63 and 686.36 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.28 : 1,429.63 = 686.36 : x
  2. Step 2: Convert to fraction form
    1,036.28/1,429.63 = 686.36/x
  3. Step 3: Cross multiply
    1,036.28x = 1,429.63 × 686.36
  4. Step 4: Simplify right side
    1,036.28x = 981,240.85
  5. Step 5: Solve for x
    x = 981,240.85/1,036.28
  6. Step 6: Final answer
    x = 946.89

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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.