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Finding the Fourth Proportional to 864.02, 1,296.04 and 589.43

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Solution

The fourth proportional to 864.02, 1,296.04 and 589.43 is: 884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.02 : 1,296.04 = 589.43 : x
  2. Step 2: Convert to fraction form
    864.02/1,296.04 = 589.43/x
  3. Step 3: Cross multiply
    864.02x = 1,296.04 × 589.43
  4. Step 4: Simplify right side
    864.02x = 763,924.86
  5. Step 5: Solve for x
    x = 763,924.86/864.02
  6. Step 6: Final answer
    x = 884.15

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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.