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Finding the Fourth Proportional to 712.51, 1,068.93 and 566.81

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Solution

The fourth proportional to 712.51, 1,068.93 and 566.81 is: 850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.51 : 1,068.93 = 566.81 : x
  2. Step 2: Convert to fraction form
    712.51/1,068.93 = 566.81/x
  3. Step 3: Cross multiply
    712.51x = 1,068.93 × 566.81
  4. Step 4: Simplify right side
    712.51x = 605,880.21
  5. Step 5: Solve for x
    x = 605,880.21/712.51
  6. Step 6: Final answer
    x = 850.35

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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.