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Finding the Fourth Proportional to 1,764.73, 2,647.13 and 594.77

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Solution

The fourth proportional to 1,764.73, 2,647.13 and 594.77 is: 892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.73 : 2,647.13 = 594.77 : x
  2. Step 2: Convert to fraction form
    1,764.73/2,647.13 = 594.77/x
  3. Step 3: Cross multiply
    1,764.73x = 2,647.13 × 594.77
  4. Step 4: Simplify right side
    1,764.73x = 1,574,433.51
  5. Step 5: Solve for x
    x = 1,574,433.51/1,764.73
  6. Step 6: Final answer
    x = 892.17

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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.