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Finding the Fourth Proportional to 864.72, 1,192.77 and 533.16

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Solution

The fourth proportional to 864.72, 1,192.77 and 533.16 is: 735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.72 : 1,192.77 = 533.16 : x
  2. Step 2: Convert to fraction form
    864.72/1,192.77 = 533.16/x
  3. Step 3: Cross multiply
    864.72x = 1,192.77 × 533.16
  4. Step 4: Simplify right side
    864.72x = 635,937.25
  5. Step 5: Solve for x
    x = 635,937.25/864.72
  6. Step 6: Final answer
    x = 735.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.