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Finding the Fourth Proportional to 1,736, 2,603.70 and 566.84

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Solution

The fourth proportional to 1,736, 2,603.70 and 566.84 is: 850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736 : 2,603.70 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,736/2,603.70 = 566.84/x
  3. Step 3: Cross multiply
    1,736x = 2,603.70 × 566.84
  4. Step 4: Simplify right side
    1,736x = 1,475,881.31
  5. Step 5: Solve for x
    x = 1,475,881.31/1,736
  6. Step 6: Final answer
    x = 850.16

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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.