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Finding the Fourth Proportional to 1,188.18, 1,638.16 and 814.52

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Solution

The fourth proportional to 1,188.18, 1,638.16 and 814.52 is: 1,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.18 : 1,638.16 = 814.52 : x
  2. Step 2: Convert to fraction form
    1,188.18/1,638.16 = 814.52/x
  3. Step 3: Cross multiply
    1,188.18x = 1,638.16 × 814.52
  4. Step 4: Simplify right side
    1,188.18x = 1,334,314.08
  5. Step 5: Solve for x
    x = 1,334,314.08/1,188.18
  6. Step 6: Final answer
    x = 1,122.99

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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.