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Finding the Fourth Proportional to 1,114.74, 1,537.95 and 694.75

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Solution

The fourth proportional to 1,114.74, 1,537.95 and 694.75 is: 958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.74 : 1,537.95 = 694.75 : x
  2. Step 2: Convert to fraction form
    1,114.74/1,537.95 = 694.75/x
  3. Step 3: Cross multiply
    1,114.74x = 1,537.95 × 694.75
  4. Step 4: Simplify right side
    1,114.74x = 1,068,479.60
  5. Step 5: Solve for x
    x = 1,068,479.60/1,114.74
  6. Step 6: Final answer
    x = 958.51

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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.