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Finding the Fourth Proportional to 1,114.19, 1,538.29 and 818.94

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Solution

The fourth proportional to 1,114.19, 1,538.29 and 818.94 is: 1,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.19 : 1,538.29 = 818.94 : x
  2. Step 2: Convert to fraction form
    1,114.19/1,538.29 = 818.94/x
  3. Step 3: Cross multiply
    1,114.19x = 1,538.29 × 818.94
  4. Step 4: Simplify right side
    1,114.19x = 1,259,774.00
  5. Step 5: Solve for x
    x = 1,259,774.00/1,114.19
  6. Step 6: Final answer
    x = 1,130.66

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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.