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Finding the Fourth Proportional to 784.41, 1,176.68 and 322.22

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Solution

The fourth proportional to 784.41, 1,176.68 and 322.22 is: 483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.41 : 1,176.68 = 322.22 : x
  2. Step 2: Convert to fraction form
    784.41/1,176.68 = 322.22/x
  3. Step 3: Cross multiply
    784.41x = 1,176.68 × 322.22
  4. Step 4: Simplify right side
    784.41x = 379,144.75
  5. Step 5: Solve for x
    x = 379,144.75/784.41
  6. Step 6: Final answer
    x = 483.35

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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.