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Finding the Fourth Proportional to 783.82, 1,082.94 and 588.58

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Solution

The fourth proportional to 783.82, 1,082.94 and 588.58 is: 813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,082.94 = 588.58 : x
  2. Step 2: Convert to fraction form
    783.82/1,082.94 = 588.58/x
  3. Step 3: Cross multiply
    783.82x = 1,082.94 × 588.58
  4. Step 4: Simplify right side
    783.82x = 637,396.83
  5. Step 5: Solve for x
    x = 637,396.83/783.82
  6. Step 6: Final answer
    x = 813.19

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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.