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Finding the Fourth Proportional to 1,036.73, 1,429.59 and 770.75

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Solution

The fourth proportional to 1,036.73, 1,429.59 and 770.75 is: 1,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.73 : 1,429.59 = 770.75 : x
  2. Step 2: Convert to fraction form
    1,036.73/1,429.59 = 770.75/x
  3. Step 3: Cross multiply
    1,036.73x = 1,429.59 × 770.75
  4. Step 4: Simplify right side
    1,036.73x = 1,101,855.26
  5. Step 5: Solve for x
    x = 1,101,855.26/1,036.73
  6. Step 6: Final answer
    x = 1,062.82

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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.