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Finding the Fourth Proportional to 1,859.15, 2,788.64 and 472.53

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Solution

The fourth proportional to 1,859.15, 2,788.64 and 472.53 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.15 : 2,788.64 = 472.53 : x
  2. Step 2: Convert to fraction form
    1,859.15/2,788.64 = 472.53/x
  3. Step 3: Cross multiply
    1,859.15x = 2,788.64 × 472.53
  4. Step 4: Simplify right side
    1,859.15x = 1,317,713.70
  5. Step 5: Solve for x
    x = 1,317,713.70/1,859.15
  6. Step 6: Final answer
    x = 708.77

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