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Finding the Fourth Proportional to 1,289.90, 1,781.40 and 1,066.64

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Solution

The fourth proportional to 1,289.90, 1,781.40 and 1,066.64 is: 1,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.90 : 1,781.40 = 1,066.64 : x
  2. Step 2: Convert to fraction form
    1,289.90/1,781.40 = 1,066.64/x
  3. Step 3: Cross multiply
    1,289.90x = 1,781.40 × 1,066.64
  4. Step 4: Simplify right side
    1,289.90x = 1,900,114.27
  5. Step 5: Solve for x
    x = 1,900,114.27/1,289.90
  6. Step 6: Final answer
    x = 1,473.08

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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.