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Finding the Fourth Proportional to 1,036.11, 1,429.20 and 662.96

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Solution

The fourth proportional to 1,036.11, 1,429.20 and 662.96 is: 914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.11 : 1,429.20 = 662.96 : x
  2. Step 2: Convert to fraction form
    1,036.11/1,429.20 = 662.96/x
  3. Step 3: Cross multiply
    1,036.11x = 1,429.20 × 662.96
  4. Step 4: Simplify right side
    1,036.11x = 947,495.29
  5. Step 5: Solve for x
    x = 947,495.29/1,036.11
  6. Step 6: Final answer
    x = 914.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.