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Finding the Fourth Proportional to 784.57, 1,176.81 and 322.24

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Solution

The fourth proportional to 784.57, 1,176.81 and 322.24 is: 483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.57 : 1,176.81 = 322.24 : x
  2. Step 2: Convert to fraction form
    784.57/1,176.81 = 322.24/x
  3. Step 3: Cross multiply
    784.57x = 1,176.81 × 322.24
  4. Step 4: Simplify right side
    784.57x = 379,215.25
  5. Step 5: Solve for x
    x = 379,215.25/784.57
  6. Step 6: Final answer
    x = 483.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.