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Finding the Fourth Proportional to 1,274.29, 1,758.90 and 832.26

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Solution

The fourth proportional to 1,274.29, 1,758.90 and 832.26 is: 1,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.29 : 1,758.90 = 832.26 : x
  2. Step 2: Convert to fraction form
    1,274.29/1,758.90 = 832.26/x
  3. Step 3: Cross multiply
    1,274.29x = 1,758.90 × 832.26
  4. Step 4: Simplify right side
    1,274.29x = 1,463,862.11
  5. Step 5: Solve for x
    x = 1,463,862.11/1,274.29
  6. Step 6: Final answer
    x = 1,148.77

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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.