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Finding the Fourth Proportional to 1,066.22, 1,470.99 and 646.27

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Solution

The fourth proportional to 1,066.22, 1,470.99 and 646.27 is: 891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.22 : 1,470.99 = 646.27 : x
  2. Step 2: Convert to fraction form
    1,066.22/1,470.99 = 646.27/x
  3. Step 3: Cross multiply
    1,066.22x = 1,470.99 × 646.27
  4. Step 4: Simplify right side
    1,066.22x = 950,656.71
  5. Step 5: Solve for x
    x = 950,656.71/1,066.22
  6. Step 6: Final answer
    x = 891.61

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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.