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Finding the Fourth Proportional to 1,114.46, 1,537.94 and 666.53

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Solution

The fourth proportional to 1,114.46, 1,537.94 and 666.53 is: 919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.46 : 1,537.94 = 666.53 : x
  2. Step 2: Convert to fraction form
    1,114.46/1,537.94 = 666.53/x
  3. Step 3: Cross multiply
    1,114.46x = 1,537.94 × 666.53
  4. Step 4: Simplify right side
    1,114.46x = 1,025,072.13
  5. Step 5: Solve for x
    x = 1,025,072.13/1,114.46
  6. Step 6: Final answer
    x = 919.80

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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.