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Finding the Fourth Proportional to 784.24, 1,175.58 and 322.36

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Solution

The fourth proportional to 784.24, 1,175.58 and 322.36 is: 483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.24 : 1,175.58 = 322.36 : x
  2. Step 2: Convert to fraction form
    784.24/1,175.58 = 322.36/x
  3. Step 3: Cross multiply
    784.24x = 1,175.58 × 322.36
  4. Step 4: Simplify right side
    784.24x = 378,959.97
  5. Step 5: Solve for x
    x = 378,959.97/784.24
  6. Step 6: Final answer
    x = 483.22

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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.