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Finding the Fourth Proportional to 710.40, 1,067.04 and 580.62

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Solution

The fourth proportional to 710.40, 1,067.04 and 580.62 is: 872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 1,067.04 = 580.62 : x
  2. Step 2: Convert to fraction form
    710.40/1,067.04 = 580.62/x
  3. Step 3: Cross multiply
    710.40x = 1,067.04 × 580.62
  4. Step 4: Simplify right side
    710.40x = 619,544.76
  5. Step 5: Solve for x
    x = 619,544.76/710.40
  6. Step 6: Final answer
    x = 872.11

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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.