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Finding the Fourth Proportional to 864.96, 1,297.42 and 482.64

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Solution

The fourth proportional to 864.96, 1,297.42 and 482.64 is: 723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.96 : 1,297.42 = 482.64 : x
  2. Step 2: Convert to fraction form
    864.96/1,297.42 = 482.64/x
  3. Step 3: Cross multiply
    864.96x = 1,297.42 × 482.64
  4. Step 4: Simplify right side
    864.96x = 626,186.79
  5. Step 5: Solve for x
    x = 626,186.79/864.96
  6. Step 6: Final answer
    x = 723.95

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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.