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Finding the Fourth Proportional to 715.66, 1,072.56 and 578.77

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Solution

The fourth proportional to 715.66, 1,072.56 and 578.77 is: 867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.66 : 1,072.56 = 578.77 : x
  2. Step 2: Convert to fraction form
    715.66/1,072.56 = 578.77/x
  3. Step 3: Cross multiply
    715.66x = 1,072.56 × 578.77
  4. Step 4: Simplify right side
    715.66x = 620,765.55
  5. Step 5: Solve for x
    x = 620,765.55/715.66
  6. Step 6: Final answer
    x = 867.40

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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.