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Finding the Fourth Proportional to 1,036.49, 1,429.72 and 663.33

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Solution

The fourth proportional to 1,036.49, 1,429.72 and 663.33 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.49 : 1,429.72 = 663.33 : x
  2. Step 2: Convert to fraction form
    1,036.49/1,429.72 = 663.33/x
  3. Step 3: Cross multiply
    1,036.49x = 1,429.72 × 663.33
  4. Step 4: Simplify right side
    1,036.49x = 948,372.85
  5. Step 5: Solve for x
    x = 948,372.85/1,036.49
  6. Step 6: Final answer
    x = 914.99

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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.