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Finding the Fourth Proportional to 1,066.73, 1,470.65 and 712.69

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Solution

The fourth proportional to 1,066.73, 1,470.65 and 712.69 is: 982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.73 : 1,470.65 = 712.69 : x
  2. Step 2: Convert to fraction form
    1,066.73/1,470.65 = 712.69/x
  3. Step 3: Cross multiply
    1,066.73x = 1,470.65 × 712.69
  4. Step 4: Simplify right side
    1,066.73x = 1,048,110.31
  5. Step 5: Solve for x
    x = 1,048,110.31/1,066.73
  6. Step 6: Final answer
    x = 982.55

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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.