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Finding the Fourth Proportional to 1,082.36, 1,623.66 and 934.64

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Solution

The fourth proportional to 1,082.36, 1,623.66 and 934.64 is: 1,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.36 : 1,623.66 = 934.64 : x
  2. Step 2: Convert to fraction form
    1,082.36/1,623.66 = 934.64/x
  3. Step 3: Cross multiply
    1,082.36x = 1,623.66 × 934.64
  4. Step 4: Simplify right side
    1,082.36x = 1,517,537.58
  5. Step 5: Solve for x
    x = 1,517,537.58/1,082.36
  6. Step 6: Final answer
    x = 1,402.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.