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Finding the Fourth Proportional to 988.61, 1,481.90 and 597.65

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Solution

The fourth proportional to 988.61, 1,481.90 and 597.65 is: 895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.61 : 1,481.90 = 597.65 : x
  2. Step 2: Convert to fraction form
    988.61/1,481.90 = 597.65/x
  3. Step 3: Cross multiply
    988.61x = 1,481.90 × 597.65
  4. Step 4: Simplify right side
    988.61x = 885,647.14
  5. Step 5: Solve for x
    x = 885,647.14/988.61
  6. Step 6: Final answer
    x = 895.86

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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.