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Finding the Fourth Proportional to 783.81, 1,081.62 and 489.24

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Solution

The fourth proportional to 783.81, 1,081.62 and 489.24 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.81 : 1,081.62 = 489.24 : x
  2. Step 2: Convert to fraction form
    783.81/1,081.62 = 489.24/x
  3. Step 3: Cross multiply
    783.81x = 1,081.62 × 489.24
  4. Step 4: Simplify right side
    783.81x = 529,171.77
  5. Step 5: Solve for x
    x = 529,171.77/783.81
  6. Step 6: Final answer
    x = 675.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.