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Finding the Fourth Proportional to 1,287.42, 1,774.62 and 1,052.34

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Solution

The fourth proportional to 1,287.42, 1,774.62 and 1,052.34 is: 1,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.42 : 1,774.62 = 1,052.34 : x
  2. Step 2: Convert to fraction form
    1,287.42/1,774.62 = 1,052.34/x
  3. Step 3: Cross multiply
    1,287.42x = 1,774.62 × 1,052.34
  4. Step 4: Simplify right side
    1,287.42x = 1,867,503.61
  5. Step 5: Solve for x
    x = 1,867,503.61/1,287.42
  6. Step 6: Final answer
    x = 1,450.58

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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.