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Finding the Fourth Proportional to 1,036.03, 1,429.29 and 686.11

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Solution

The fourth proportional to 1,036.03, 1,429.29 and 686.11 is: 946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.03 : 1,429.29 = 686.11 : x
  2. Step 2: Convert to fraction form
    1,036.03/1,429.29 = 686.11/x
  3. Step 3: Cross multiply
    1,036.03x = 1,429.29 × 686.11
  4. Step 4: Simplify right side
    1,036.03x = 980,646.73
  5. Step 5: Solve for x
    x = 980,646.73/1,036.03
  6. Step 6: Final answer
    x = 946.54

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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.