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Finding the Fourth Proportional to 796.02, 1,098.66 and 576

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Solution

The fourth proportional to 796.02, 1,098.66 and 576 is: 794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.02 : 1,098.66 = 576 : x
  2. Step 2: Convert to fraction form
    796.02/1,098.66 = 576/x
  3. Step 3: Cross multiply
    796.02x = 1,098.66 × 576
  4. Step 4: Simplify right side
    796.02x = 632,828.16
  5. Step 5: Solve for x
    x = 632,828.16/796.02
  6. Step 6: Final answer
    x = 794.99

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Why These Related Problems?

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