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Finding the Fourth Proportional to 784.69, 1,177.03 and 322.14

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Solution

The fourth proportional to 784.69, 1,177.03 and 322.14 is: 483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,177.03 = 322.14 : x
  2. Step 2: Convert to fraction form
    784.69/1,177.03 = 322.14/x
  3. Step 3: Cross multiply
    784.69x = 1,177.03 × 322.14
  4. Step 4: Simplify right side
    784.69x = 379,167.44
  5. Step 5: Solve for x
    x = 379,167.44/784.69
  6. Step 6: Final answer
    x = 483.21

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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.