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Finding the Fourth Proportional to 712.00, 1,065.93 and 575.31

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Solution

The fourth proportional to 712.00, 1,065.93 and 575.31 is: 861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.00 : 1,065.93 = 575.31 : x
  2. Step 2: Convert to fraction form
    712.00/1,065.93 = 575.31/x
  3. Step 3: Cross multiply
    712.00x = 1,065.93 × 575.31
  4. Step 4: Simplify right side
    712.00x = 613,242.03
  5. Step 5: Solve for x
    x = 613,242.03/712.00
  6. Step 6: Final answer
    x = 861.29

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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.