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Finding the Fourth Proportional to 1,035.72, 1,429.09 and 662.41

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Solution

The fourth proportional to 1,035.72, 1,429.09 and 662.41 is: 914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.72 : 1,429.09 = 662.41 : x
  2. Step 2: Convert to fraction form
    1,035.72/1,429.09 = 662.41/x
  3. Step 3: Cross multiply
    1,035.72x = 1,429.09 × 662.41
  4. Step 4: Simplify right side
    1,035.72x = 946,643.51
  5. Step 5: Solve for x
    x = 946,643.51/1,035.72
  6. Step 6: Final answer
    x = 914.00

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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.