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Finding the Fourth Proportional to 1,066.21, 1,470.09 and 786.40

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Solution

The fourth proportional to 1,066.21, 1,470.09 and 786.40 is: 1,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.21 : 1,470.09 = 786.40 : x
  2. Step 2: Convert to fraction form
    1,066.21/1,470.09 = 786.40/x
  3. Step 3: Cross multiply
    1,066.21x = 1,470.09 × 786.40
  4. Step 4: Simplify right side
    1,066.21x = 1,156,078.78
  5. Step 5: Solve for x
    x = 1,156,078.78/1,066.21
  6. Step 6: Final answer
    x = 1,084.29

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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.