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Finding the Fourth Proportional to 783.23, 1,175.04 and 372.83

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Solution

The fourth proportional to 783.23, 1,175.04 and 372.83 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.23 : 1,175.04 = 372.83 : x
  2. Step 2: Convert to fraction form
    783.23/1,175.04 = 372.83/x
  3. Step 3: Cross multiply
    783.23x = 1,175.04 × 372.83
  4. Step 4: Simplify right side
    783.23x = 438,084.29
  5. Step 5: Solve for x
    x = 438,084.29/783.23
  6. Step 6: Final answer
    x = 559.33

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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.