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Finding the Fourth Proportional to 1,234.16, 1,702.63 and 808.67

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Solution

The fourth proportional to 1,234.16, 1,702.63 and 808.67 is: 1,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.16 : 1,702.63 = 808.67 : x
  2. Step 2: Convert to fraction form
    1,234.16/1,702.63 = 808.67/x
  3. Step 3: Cross multiply
    1,234.16x = 1,702.63 × 808.67
  4. Step 4: Simplify right side
    1,234.16x = 1,376,855.27
  5. Step 5: Solve for x
    x = 1,376,855.27/1,234.16
  6. Step 6: Final answer
    x = 1,115.62

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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.