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Finding the Fourth Proportional to 710.90, 1,066.62 and 320.79

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Solution

The fourth proportional to 710.90, 1,066.62 and 320.79 is: 481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.90 : 1,066.62 = 320.79 : x
  2. Step 2: Convert to fraction form
    710.90/1,066.62 = 320.79/x
  3. Step 3: Cross multiply
    710.90x = 1,066.62 × 320.79
  4. Step 4: Simplify right side
    710.90x = 342,154.09
  5. Step 5: Solve for x
    x = 342,154.09/710.90
  6. Step 6: Final answer
    x = 481.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.