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Finding the Fourth Proportional to 783.69, 1,175.40 and 296.62

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Solution

The fourth proportional to 783.69, 1,175.40 and 296.62 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.69 : 1,175.40 = 296.62 : x
  2. Step 2: Convert to fraction form
    783.69/1,175.40 = 296.62/x
  3. Step 3: Cross multiply
    783.69x = 1,175.40 × 296.62
  4. Step 4: Simplify right side
    783.69x = 348,647.15
  5. Step 5: Solve for x
    x = 348,647.15/783.69
  6. Step 6: Final answer
    x = 444.88

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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.