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Finding the Fourth Proportional to 1,788.95, 2,683.12 and 472.71

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Solution

The fourth proportional to 1,788.95, 2,683.12 and 472.71 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.95 : 2,683.12 = 472.71 : x
  2. Step 2: Convert to fraction form
    1,788.95/2,683.12 = 472.71/x
  3. Step 3: Cross multiply
    1,788.95x = 2,683.12 × 472.71
  4. Step 4: Simplify right side
    1,788.95x = 1,268,345.65
  5. Step 5: Solve for x
    x = 1,268,345.65/1,788.95
  6. Step 6: Final answer
    x = 708.99

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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.