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Finding the Fourth Proportional to 783.86, 1,076.06 and 673.14

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Solution

The fourth proportional to 783.86, 1,076.06 and 673.14 is: 924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,076.06 = 673.14 : x
  2. Step 2: Convert to fraction form
    783.86/1,076.06 = 673.14/x
  3. Step 3: Cross multiply
    783.86x = 1,076.06 × 673.14
  4. Step 4: Simplify right side
    783.86x = 724,335.66
  5. Step 5: Solve for x
    x = 724,335.66/783.86
  6. Step 6: Final answer
    x = 924.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.