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Finding the Fourth Proportional to 1,082.94, 1,493.73 and 640.50

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Solution

The fourth proportional to 1,082.94, 1,493.73 and 640.50 is: 883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.94 : 1,493.73 = 640.50 : x
  2. Step 2: Convert to fraction form
    1,082.94/1,493.73 = 640.50/x
  3. Step 3: Cross multiply
    1,082.94x = 1,493.73 × 640.50
  4. Step 4: Simplify right side
    1,082.94x = 956,734.07
  5. Step 5: Solve for x
    x = 956,734.07/1,082.94
  6. Step 6: Final answer
    x = 883.46

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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.