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Finding the Fourth Proportional to 864.72, 1,297.44 and 587.38

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Solution

The fourth proportional to 864.72, 1,297.44 and 587.38 is: 881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.72 : 1,297.44 = 587.38 : x
  2. Step 2: Convert to fraction form
    864.72/1,297.44 = 587.38/x
  3. Step 3: Cross multiply
    864.72x = 1,297.44 × 587.38
  4. Step 4: Simplify right side
    864.72x = 762,095.71
  5. Step 5: Solve for x
    x = 762,095.71/864.72
  6. Step 6: Final answer
    x = 881.32

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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.