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Finding the Fourth Proportional to 866.16, 1,300.32 and 576.72

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Solution

The fourth proportional to 866.16, 1,300.32 and 576.72 is: 865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,300.32 = 576.72 : x
  2. Step 2: Convert to fraction form
    866.16/1,300.32 = 576.72/x
  3. Step 3: Cross multiply
    866.16x = 1,300.32 × 576.72
  4. Step 4: Simplify right side
    866.16x = 749,920.55
  5. Step 5: Solve for x
    x = 749,920.55/866.16
  6. Step 6: Final answer
    x = 865.80

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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.